{"id":352,"date":"2023-07-06T00:53:57","date_gmt":"2023-07-06T00:53:57","guid":{"rendered":"https:\/\/mathority.org\/id\/identitas-produk-persamaan-penting-yang-diselesaikan-latihan\/"},"modified":"2023-07-06T00:53:57","modified_gmt":"2023-07-06T00:53:57","slug":"identitas-produk-persamaan-penting-yang-diselesaikan-latihan","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/identitas-produk-persamaan-penting-yang-diselesaikan-latihan\/","title":{"rendered":"Identitas terkenal (atau produk terkenal)"},"content":{"rendered":"<p>Di sini Anda akan menemukan penjelasan tentang resolusi semua jenis identitas terkenal (atau produk terkenal). Anda akan dapat melihat rumus dari semua identitas penting, serta contoh dan latihan yang diselesaikan langkah demi langkah. Selain itu, kami akan menunjukkan kepada Anda untuk apa aturan matematika terkenal ini digunakan.<\/p>\n<p> \ud83d\udc49\ud83d\udc49 Di bawah ini kami menjelaskan setiap identitas penting langkah demi langkah, tetapi jika mau, Anda dapat langsung menuju ke <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/identitas-produk-persamaan-penting-yang-diselesaikan-latihan\/\">tabel \ud83d\ude09 di mana semua rumus dirangkum<\/a><\/span><\/strong> . \ud83d\udc48\ud83d\udc48 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-son-las-identidades-notables-o-productos-notables\"><\/span> Apa yang dimaksud dengan identitas terkenal (atau produk terkenal)?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Identitas luar biasa<\/strong> , juga disebut <strong>produk luar biasa<\/strong> atau <strong>persamaan luar biasa<\/strong> , adalah aturan matematika yang memungkinkan penyelesaian operasi dengan polinomial secara langsung.<\/p>\n<p> Rumus identitas yang paling umum dan umum adalah <em>kuadrat suatu jumlah<\/em> , <em>kuadrat selisih (atau pengurangan),<\/em> dan <em>jumlah dikali selisihnya<\/em> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/identites-produits-ou-egalites-notables.png\" alt=\"identitas atau persamaan produk yang menonjol\" class=\"wp-image-2751\" width=\"281\" height=\"281\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Namun di bawah ini kami tidak hanya akan mengajari Anda cara menghitung produk terkenal tersebut, tetapi kami juga akan menunjukkan kepada Anda semua jenis identitas penting yang ada. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formulas-de-las-identidades-o-productos-notables\"><\/span> Rumus identitas (atau produk) yang terkenal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita melihat definisi produk yang terkenal (atau kesetaraan yang penting), kita akan melihat apa rumus untuk identitas yang terkenal. Di sisi lain, jika Anda tertarik dengan demo rumus, Anda dapat melihat rumusnya dengan mengklik tombol \u201clihat demo\u201d.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cuadrado-de-una-suma\"><\/span> kuadrat dari suatu jumlah<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Kuadrat suatu jumlah<\/strong> , atau <strong>jumlah kuadrat<\/strong> , adalah salah satu identitas utama yang menonjol. Lebih tepatnya, ini adalah binomial dengan dua suku positif pangkat 2, artinya ekspresi aljabarnya adalah <strong>(a+b) <sup>2<\/sup><\/strong> .<\/p>\n<p> Jadi, rumus kuadrat suatu jumlah adalah: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-pour-le-carre-dune-somme.png\" alt=\"identitas terkenal dikuadratkan dengan jumlah\" class=\"wp-image-2339\" width=\"274\" height=\"275\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat demonstrasi rumusnya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Jika kita memulai dari binomial positif yang dipangkatkan menjadi 2:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef98ef741811c17cd99e75e5f848ea69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Secara matematis, kuadrat di atas setara dengan faktornya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> dikalikan dengan dirinya sendiri:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b2df207ac593eaf04ac60ac40b89a7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2=(a+b)\\cdot (a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jadi, kita mengalikan polinomial menggunakan sifat distributif:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c871c4ad6546c817128379acbef78c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)\\cdot (a+b) &amp; = a\\cdot a +a\\cdot b +b\\cdot a +b\\cdot b \\\\[2ex] &amp;=a^2+ab+ba+b^2 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"325\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dari empat istilah yang diperoleh,<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7202c73e2795274765d7f01eefc3e3f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ab\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e095edd42169777a1290a880eecae4ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ba\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> terlihat serupa sehingga kita dapat mengelompokkannya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b645fb320040c599e077b3e5bdc4b407_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+ab+ba+b^2 = a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"256\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sedemikian rupa sehingga kita telah sampai pada ekspresi rumus jumlah kuadrat, yang merupakan turunannya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66c4071b50f376018a8ac9b6f3f9f5fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2= a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sebagai rasa ingin tahu, pengembangan ekspresi untuk jenis produk luar biasa ini disebut trinomial kuadrat sempurna.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Sehingga kuadrat suatu jumlah sama dengan kuadrat suku pertama, ditambah dua kali hasil kali suku pertama dan suku kedua, ditambah kuadrat suku kedua.<\/p>\n<p> Jadi untuk menyelesaikan penjumlahan kuadrat, tidak cukup dengan menaikkan setiap penjumlahan ke keduanya, tetapi, selain itu, kedua penjumlahan tersebut harus dikalikan satu sama lain dan dengan 2. Penting untuk mengingat hal ini karena kesalahan yang sangat umum dari jenis ini produk Sungguh luar biasa melupakan istilah ini. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/polynomes-au-carre-dune-somme.jpg\" alt=\"identitas polinomial dan binomial yang terkenal\" class=\"wp-image-2342\" width=\"246\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\"> Contoh:<\/h4>\n<ul>\n<li> Hitung identitas penting berikut dengan menerapkan rumus yang sesuai:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a9b2aa575ef7fa83e8bb98cbb385ac8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+5)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Seperti yang baru saja kita lihat, rumus persamaan penting dari jumlah kuadrat adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2=a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, kita harus mengidentifikasi parameternya terlebih dahulu<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dari rumus tersebut. Pada kasus ini,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> mewakili<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> dari pasangan dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> sesuai dengan nomor 5:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ba75b0f34f956985ea0163011a03acf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)^2\\\\[2ex] (x+5)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=5 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Nah, sekarang kita sudah mengetahui nilai-nilainya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan dari<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> kita dapat menggunakan rumus binomial positif kuadrat untuk mencari hasilnya: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produits-notables-au-carre-dune-somme.jpg\" alt=\"contoh identitas kuadrat yang terkenal\" class=\"wp-image-2349\" width=\"284\" height=\"164\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cuadrado-de-una-diferencia\"><\/span> kuadrat perbedaan<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Kuadrat perbedaan<\/strong> , atau <strong>kuadrat selisih<\/strong> , adalah salah satu dari 3 identitas penting yang paling banyak digunakan. Secara khusus, ini sesuai dengan binomial yang dibentuk oleh suku positif dan suku negatif lainnya yang dipangkatkan menjadi 2, artinya ekspresi aljabarnya adalah <strong>(ab) <sup>2<\/sup><\/strong> .<\/p>\n<p> Jadi, rumus kuadrat selisih (atau kuadrat pengurangan) adalah sebagai berikut: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-du-carre-dune-difference-ou-soustraction.png\" alt=\"produk luar biasa kuadrat\" class=\"wp-image-2407\" width=\"306\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat demo rumusnya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Dari ekspresi binomial pengurangan kuadrat:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8f88949b2f3fcc20e9d00f495e471cf2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jelasnya, pangkat sebelumnya sama dengan hasil kali faktornya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ab5e2adaf0a63382c066ea55b51147c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> dikalikan dengan dirinya sendiri:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5786e5179724339feaef50ccdb33ead1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2= (a-b)\\cdot (a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita mengalikan kedua tanda kurung dengan menerapkan sifat distributif:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b46073fd758d93fff8956f0a8dd57af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}(a-b)\\cdot (a-b) &amp; = a\\cdot a +a\\cdot (-b) - b\\cdot a - b \\cdot (-b) \\\\[2ex] &amp; = a^2-ab-ba+b^2 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"379\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jadi, Anda hanya perlu mengelompokkan istilah-istilah serupa untuk menyelesaikan pemeriksaan rumus:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-68a1e26dd180891fc1ee31584a471ca9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-ab-ba+b^2 = a^2-2ab +b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"256\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Maka rumus kuadrat selisih dibuktikan secara matematis: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3074d6e8bc69734f38234657d1fddc4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2=a^2-2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Sehingga kuadrat selisihnya sama dengan kuadrat suku pertama, dikurangi dua kali hasil kali suku pertama dan suku kedua, ditambah kuadrat suku kedua.<\/p>\n<p> Mengenai persamaan jumlah kuadrat yang luar biasa, kita tidak boleh lupa untuk memasukkan suku tengah rumusnya, karena persamaan berikut ini salah: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/carre-du-binome-d-une-soustraction.jpg\" alt=\"kesalahan identitas penting yang umum\" class=\"wp-image-2409\" width=\"246\" height=\"68\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h4 class=\"wp-block-heading\"> Contoh:<\/h4>\n<ul>\n<li> Selesaikan persamaan penting berikut dari perbedaan kuadrat:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c639502958a3e7b758e74eda141cd322_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Ini adalah hasil kali penting dari pengurangan kuadrat, oleh karena itu perlu menerapkan rumus yang sesuai:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3074d6e8bc69734f38234657d1fddc4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2=a^2-2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Selanjutnya, kita harus mengidentifikasi nilai-nilai yang tidak diketahui.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dari rumus tersebut. Pada kasus ini,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah variabelnya<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> sesuai dengan nomor 3:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1bb2d14a30d2cdabae6458f5df32392a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a-b)^2\\\\[2ex] (x-3)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Perhatikan bahwa tanda negatif bukan merupakan bagian dari parameter<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> tetapi Anda harus selalu mengambil angka tanpa tanda untuk menerapkan rumus ini dengan benar.<\/p>\n<p> Oleh karena itu kita sudah mengetahui nilai-nilai<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan dari<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> , oleh karena itu cukup dengan mengganti nilai-nilai ini ke dalam rumus untuk menyelesaikan identitas penting: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-dune-soustraction-au-carre-exercices-resolus.jpg\" alt=\"contoh dan latihan diselesaikan selangkah demi selangkah dengan persamaan yang penting\" class=\"wp-image-2417\" width=\"299\" height=\"173\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-por-diferencia\"><\/span> jumlah berdasarkan perbedaan<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Hasil kali penjumlahan dan selisih<\/strong> adalah salah satu dari 3 identitas penting yang paling banyak digunakan. Seperti namanya, ini adalah binomial positif dikalikan dengan binomial terkonjugasinya (binomial yang sama tetapi dengan tanda tengahnya diubah), artinya ekspresi aljabar dari jenis hasil kali luar biasa ini adalah <strong>(a +b) \u00b7 (ab)<\/strong> .<\/p>\n<p> Rumus identitas luar biasa hasil kali penjumlahan dan selisih adalah sebagai berikut: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produit-de-la-somme-par-la-difference.png\" alt=\"identitas, produk dan persamaan menonjol dari SMA 2, 3 dan 4 yang\" class=\"wp-image-2278\" width=\"247\" height=\"248\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat demonstrasi rumusnya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Mulai dari hasil perkalian suatu penjumlahan dengan pengurangan dua suku apa pun:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-226e878dd6855cddf50e1bd6eeed0eab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Untuk mendemonstrasikan rumusnya, kita hanya perlu mengalikan tanda kurung pertama dengan tanda kurung kedua menggunakan sifat distributif:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-346d3d7ca4da1e71fad52c84a33ef4fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}(a+b)\\cdot (a-b)= \\\\[2ex] = a\\cdot a +a\\cdot (-b) +b \\cdot a +b\\cdot (-b) =\\\\[2ex] = a^2 -ab+ba-b^2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"91\" width=\"276\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kami mengelompokkan istilah serupa menjadi satu:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc83a078573a59dfd63c1a7cdad77e01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2 -ab+ba-b^2=a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"209\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan kita telah mencapai ekspresi kesetaraan yang luar biasa. Dengan demikian rumusan untuk jenis identitas yang luar biasa ini ditunjukkan: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Jadi, hasil kali jumlah dengan selisih dua besaran sama dengan selisih kuadrat kedua besaran tersebut. Atau dengan kata lain, mengalikan jumlah dua suku berbeda dengan mengurangkan kedua suku yang sama sama dengan mengkuadratkan masing-masing 2 suku dan mengurangkannya.<\/p>\n<h4 class=\"wp-block-heading\"> Contoh:<\/h4>\n<ul>\n<li> Temukan, dengan menggunakan rumus yang sesuai, hasil kali penting berikut dari penjumlahan dengan selisih dua suku berbeda:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4306df75f7e6d774f71a001d93d0a830_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)\\cdot (x-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"120\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Seperti yang kita lihat di atas, rumus persamaan penting suatu jumlah dikalikan selisihnya adalah sebagai berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Pertama-tama, yang perlu kita lakukan adalah mengidentifikasi nilai-nilai huruf tersebut<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dari rumus tersebut. Pada kasus ini<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> sesuai dengan variabelnya<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> sesuai dengan nomor 2.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-87b76b09924467ba75f033336e6a18e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)\\cdot (a-b) \\\\[2ex] (x+2)\\cdot (x-2) \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"355\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dan ketika kita sudah mengetahui nilai apa yang diambil parameternya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a521efcd0a946cd643aebe98b5b41a3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> Kami menerapkan rumus untuk hasil kali jumlah dan selisihnya: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cuadrado-de-un-trinomio\"><\/span>kuadrat dari trinomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Kuadrat suatu trinomial<\/strong> (polinomial yang terdiri dari 3 suku) sama dengan kuadrat suku pertama, ditambah kuadrat suku kedua, ditambah kuadrat suku ketiga, ditambah dua kali suku pertama kali suku kedua, ditambah dua kali suku pertama dengan yang ketiga, ditambah dua kali yang kedua untuk yang ketiga. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/carre-dun-trinome.png\" alt=\"Apa rumus untuk semua identitas, produk, atau kesetaraan yang menonjol?\" class=\"wp-image-2847\" width=\"362\" height=\"290\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat demo rumusnya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Dari kuadrat trinomial apa pun:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-379affdd0954c4ca08ed08041e0eb7b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Kuadrat di atas dapat dikalikan dengan trinomialnya sendiri:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d8944601270bfee61c23bb9440e7fd79_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2 = (a+b+c)(a+b+c)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"275\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Sekarang kita selesaikan perkalian polinomial:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ceaddc98a341af8c426098e15affbe7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)(a+b+c)= a^2+ab+ac+ba+b^2+bc+ca+cb+c^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"505\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan terakhir, kami mengelompokkan istilah serupa:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-79d99fd9567501331249064ee77e6db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+ab+ac+ba+b^2+bc+ca+cb+c^2 = a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"576\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dengan cara ini, kita telah sampai pada ekspresi rumusnya, sehingga rumus kuadrat trinomial ditunjukkan: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h4 class=\"wp-block-heading\">Contoh:<\/h4>\n<ul>\n<li> Temukan persamaan penting berikut ini:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ee4db6a5192b7efea2342d21275e487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2+x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"101\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> Rumus kuadrat trinomial adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Seperti dalam semua persamaan penting, Anda harus terlebih dahulu mengidentifikasi nilai-nilai yang tidak diketahui dalam rumusnya. Dalam latihan ini<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> Timur<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f6edd3d7af07ab26b4a0a71c20c0b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p> koefisien<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> sesuai dengan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-038741496726a75b03e91a2e030b0287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah istilah independen 3:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55e06f44486e75e9153a60d36e83bc37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} (a+b+c)^2\\\\[2ex] \\left(x^2+x+3\\right)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x^2 \\\\[2ex] b=x \\\\[2ex] c=3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"343\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dan bila kita sudah mengetahui nilainya, cukup substitusikan nilai tersebut ke dalam rumus dan lakukan perhitungan: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-trinome-au-carre.png\" alt=\"kalkulator identitas, produk, dan persamaan penting\" class=\"wp-image-2850\" width=\"643\" height=\"224\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Identidades-o-productos-notables-al-cubo\"><\/span> Identitas (atau produk) terkenal dipotong dadu<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kita baru saja mempelajari semua identitas terkenal yang dikuadratkan, yaitu semua jenis identitas penting yang dibentuk oleh pangkat yang dipangkatkan menjadi 2. Nah, sekarang kita akan menganalisis identitas terkenal yang dikuadratkan. Tentu saja, rumus identitas pangkat tiga sedikit lebih rumit, namun juga sangat berguna.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cubo-de-una-suma\"><\/span> kubus suatu jumlah<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Produk kubus yang terkenal dari suatu penjumlahan<\/strong> adalah binomial (polinomial dengan hanya dua monomial) pangkat 3 yang kedua elemennya positif. Oleh karena itu, secara aljabar, pangkat tiga suatu jumlah dinyatakan sebagai <strong>(a+b) <sup>3<\/sup><\/strong> .<\/p>\n<p> Rumus persamaan pangkat tiga suatu jumlah adalah: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-dune-somme-ou-somme-au-cube-formule.png\" alt=\"Apa saja produk, identitas, atau ikatan yang terkenal?\" class=\"wp-image-2810\" width=\"280\" height=\"280\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat demonstrasi rumusnya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Dimulai dari pangkat tiga binomial positif:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-380239d5f1b18e11f3b6b0931a4f14d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Pangkat di atas dapat difaktorkan ke dalam perkalian faktor tersebut<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> menurut kuadratnya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d89c1125bf18f5ec3b34a3bc8e4de45b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3=(a+b)\\cdot (a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Demikian pula, seperti yang kita lihat dalam persamaan kuadrat, binomial<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2cfde4aacc08aae1ed70fe5f7b2f74de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> Hal ini dapat diselesaikan dengan rumus kuadrat suatu jumlah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b1c6920425dd90a9526a1eaccf056b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a+b)^2=(a+b)\\cdot (a^2+2ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Lalu kita mengalikan kedua polinomial tersebut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-06771ecbb13542eae2a68477f849d729_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a+b)\\cdot (a^2+2ab+b^2) &amp; = a\\cdot a^2 +a\\cdot 2ab + a\\cdot b^2+b\\cdot a^2 +b\\cdot 2ab +b \\cdot b^2 \\\\[2ex] &amp; = a^3+2a^2b+ab^2+ba^2+2ab^2+b^3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"555\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Terakhir, kita hanya perlu mengelompokkan istilah-istilah serupa:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27d0da0e0e3ce760508c47f425fd1d68_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+2a^2b+ab^2+ba^2+2ab^2+b^3 = a^3+3a^2b+3ab^2+b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"445\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan dengan demikian rumus identitas penting dari jumlah pangkat tiga binomial diverifikasi: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Singkatnya, jumlah yang dipangkatkan menjadi 3 sama dengan pangkat tiga dari bilangan pertama, ditambah tiga kali kuadrat bilangan pertama kali bilangan kedua, ditambah tiga kali bilangan pertama kali kuadrat bilangan kedua, ditambah pangkat tiga dari bilangan kedua.<\/p>\n<h4 class=\"wp-block-heading\"> Contoh:<\/h4>\n<ul>\n<li> Selesaikan identitas penting berikut dari jumlah pangkat tiga menggunakan rumus yang sesuai:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9b6665bb45814802bf3d7dbb8b68c771_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dalam soal ini kita mempunyai binomial pangkat 3 yang kedua sukunya positif. Oleh karena itu kita harus menggunakan rumus jumlah pangkat tiga:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Sekarang kita perlu mencari nilai parameternya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dari rumus tersebut. Pada kasus ini,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> sesuai dengan variabelnya<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah nomor 2.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-909b3b4a2f976c165f160a6765b3ed9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a+b)^3\\\\[2ex] (x+2)^3 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"295\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Yang dengannya kami menghitung produk penting dengan mengganti nilai<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan dari<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dalam rumus: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dun-binome-somme-et-difference-au-cube.jpg\" alt=\"10 contoh produk atau identitas terkenal\" class=\"wp-image-2468\" width=\"419\" height=\"168\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Cubo-de-una-diferencia\"><\/span> kubus perbedaan<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Kubus selisih<\/strong> , atau <strong>pangkat tiga pengurangan<\/strong> , adalah binomial pangkat 3 yang mempunyai suku bertanda negatif. Jadi, ekspresi matematis untuk jenis produk luar biasa ini adalah <strong>(ab) <sup>3<\/sup><\/strong> .<\/p>\n<p> Rumus pangkat tiga selisih (atau pengurangan) adalah: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-dune-soustraction-de-difference-de-la-formule-du-cube.png\" alt=\"identitas kubik yang luar biasa, produk atau persamaan\" class=\"wp-image-2811\" width=\"279\" height=\"279\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat demonstrasi rumusnya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Jelas sekali, pembuktian rumus ini sangat mirip dengan pembuktian hasil penjumlahan pangkat tiga. Namun dalam kasus ini, kita mulai dari binomial pangkat tiga negatif:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a48c875098bfee5d50068c1f0e7296d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"59\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jelasnya, potensiasi sebelumnya dapat diuraikan menjadi produk faktornya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ab5e2adaf0a63382c066ea55b51147c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> dikalikan dengan kuadratnya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ada6004c3907e554bc5bde167ff16a0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3=(a-b)\\cdot (a-b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jadi, saat kita mempelajari identitas kuadrat yang terkenal, binomial<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ab5e2adaf0a63382c066ea55b51147c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" style=\"vertical-align: -5px;\"><\/p>\n<p> Dapat dihitung dengan rumus kuadrat selisih:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c2570ca2db47f67aa0eaf670615e2743_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)\\cdot (a-b)^2=(a-b)\\cdot (a^2-2ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Kami sekarang menghasilkan produk dari dua polinomial:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-627a273de8fff974f4a14a32fcee90b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (a-b)\\cdot (a^2-2ab+b^2) &amp; = a\\cdot a^2 +a\\cdot (-2ab) + a\\cdot b^2-b\\cdot a^2 -b\\cdot (-2ab)-b \\cdot b^2 \\\\[2ex] &amp; = a^3-2a^2b+ab^2-ba^2+2ab^2-b^3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"610\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan langkah terakhir adalah mengelompokkan istilah-istilah serupa:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62f63e77f52ddb89cdd2e650938edb82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3-2a^2b+ab^2-ba^2+2ab^2-b^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"445\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dengan demikian, rumus identitas penting dari binomial yang dikurangkan dan dipangkatkan ke pangkat tiga telah diverifikasi: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a9a96bd2d1f115178fbbcf19c8047c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Jadi selisih (atau pengurangan) yang dipangkatkan menjadi tiga sama dengan pangkat tiga dari bilangan pertama, dikurangi tiga kali kuadrat bilangan pertama kali bilangan kedua, ditambah tiga kali bilangan pertama kali kuadrat bilangan kedua, dikurangi pangkat tiga bilangan kedua.<\/p>\n<h4 class=\"wp-block-heading\"> Contoh:<\/h4>\n<ul>\n<li> Hitung binomial pangkat tiga berikutnya (selisih) menggunakan rumus yang sesuai:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb0dbc34da8cea6a7d6622c9a3c5faba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3x-2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dalam latihan ini, kita mempunyai pasangan dengan elemen positif dan elemen negatif. Oleh karena itu kita harus menggunakan rumus selisih pangkat tiga:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-746a96ec30fac619eedf62054c377fe5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2 -b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Pertama, seperti biasa, kami mengidentifikasi nilai dari hal-hal yang tidak diketahui<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dari rumus tersebut. Pada kasus ini<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> mewakili monomial<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bcea841b93e6d1c6150bf94b4036ab3c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah suku independen dari binomial, yaitu 2.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a792ec6dead8466ec6a2cb2a43d9fab4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{l} (a-b)^3\\\\[2ex] (3x-2)^3 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=3x \\\\[2ex] b=2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"313\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Perhatikan bahwa parameternya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> sama dengan 2, tanpa tanda negatif dari angka tersebut. Penting untuk mengingat hal ini untuk menerapkan formula dengan benar.<\/p>\n<p> Terakhir, kita menemukan jati diri yang luar biasa dengan mengedepankan nilai-nilai<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan dari<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dalam rumus: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/binome-cube-negatif-parfait.jpg\" alt=\"mengembangkan identitas, produk, dan kesetaraan yang luar biasa\" class=\"wp-image-2476\" width=\"501\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tabla-resumen-de-las-identidades-notables\"><\/span> Tabel ringkasan identitas terkenal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Singkatnya, kami telah membuat tabel dengan semua identitas (atau produk) terkenal yang pernah kami lihat, sehingga akan lebih mudah bagi Anda untuk mempelajarinya. \ud83d\ude09 <\/p>\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"525\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formules-des-identites-produits-ou-egalites-remarquables.png\" alt=\"formula identitas atau persamaan produk unggulan\" class=\"wp-image-2808\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-identidades-o-productos-notables\"><\/span> Latihan terpecahkan dari identitas (atau produk) terkenal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agar Anda dapat memahami gagasan tentang identitas yang luar biasa, yang juga disebut produk luar biasa atau persamaan luar biasa, kami telah menyiapkan beberapa latihan yang diselesaikan langkah demi langkah. Anda dapat mencoba melakukannya dan kemudian memeriksa apakah Anda melakukannya dengan baik dengan solusi latihannya.<\/p>\n<p class=\"has-text-align-center\"> \u2b07\u2b07 Jangan lupa bahwa Anda dapat menanyakan semua pertanyaan Anda kepada kami di bawah di komentar! \u2b07\u2b07<\/p>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Perluas identitas penting berikut (jumlah kuadrat): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9229e4ae2034182594cea6b72883a61e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-837ba9382325be793705fe7f068579be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (6x+2)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55d230fdf4d87dfb39f5427089c4bcd0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(x^2+7\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"100\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8858ec9b4957c47679e682ab433bd75d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (5x+8y)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Semua identitas penting dalam soal adalah jumlah kuadrat, jadi dalam hal ini kita harus selalu menerapkan rumus yang sama: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e3c7bb69fbb939444db4e075615462f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2=a^2+2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-571dada676a093b9b625887a09615b5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+3)^2&amp; =x^2+2\\cdot x\\cdot 3 +3^2\\\\[2ex] &amp; = \\bm{x^2+6x +9}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"248\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-067fdf38612ca481db587bda479cab24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}(6x+2)^2 &amp; =(6x)^2+2\\cdot 6x \\cdot 2+2^2\\\\[2ex] &amp; = \\bm{36x^2+24x+4}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"288\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62f7ef68fc47d45958f6a10dbfe3f512_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(x^2+7\\right)^2 &amp; = \\left(x^2\\right)^2+2\\cdot x^2\\cdot 7 +7^2\\\\[2ex] &amp; = \\bm{x^4+14x^2 +49}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"290\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fdf798e7d585cdbc2bbeb0417bfc62a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(5x+8y)^2 &amp; =(5x)^2+2\\cdot 5x\\cdot 8y +(8y)^2\\\\[2ex] &amp; = \\bm{25x^2+80xy+64y^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"331\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 2<\/h3>\n<p> Kembangkan produk penting berikut (perbedaan dikuadratkan): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c11a4f53553874acb14ec9bbd0c78d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x-2)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-55330f15a13171e004a6fd9063b5042d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (3-7x)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"96\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a9afedffeffbe27f4e9c5d94b2bcad2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(x^2-6\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"100\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f96b2af0d8ddde63f0f5ff04acde9e8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (-3x+y)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Semua hasil kali penting dalam latihan ini adalah pengurangan kuadrat, jadi kita hanya perlu menerapkan satu rumus: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3074d6e8bc69734f38234657d1fddc4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^2=a^2-2ab+b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"184\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14d502eda968fe82617b4403cd9c4722_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x-2)^2&amp; =x^2-2\\cdot x\\cdot 2 +2^2\\\\[2ex] &amp; = \\bm{x^2-4x +4}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"248\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c22d520301280872e645f5683a2fba8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}(3-7x)^2 &amp; =3^2-2\\cdot 3\\cdot 7x +(7x)^2\\\\[2ex] &amp; = \\bm{9-42x+49x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"288\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-95c7c481a96b20b700bd2253c90f0c0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(x^2-6\\right)^2 &amp; = \\left(x^2\\right)^2-2\\cdot x^2\\cdot 6 +6^2\\\\[2ex] &amp; = \\bm{x^4-12x^2 +36}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"290\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cea9fa89580d3d9d9df7fd93cca2b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(-3x+y)^2 &amp; = (y-3x)^2 \\\\[2ex] &amp; = y^2-2\\cdot y\\cdot 3x +(3x)^2\\\\[2ex] &amp; = \\bm{y^2-6yx+9x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"304\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 3<\/h3>\n<p> Kembangkan persamaan penting berikut (hasil perkalian jumlah dengan perbedaan): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a101dc0bb3e2ab901e5a441cdb22369_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+5)(x-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"134\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a3cc5a2bfc3829e05fbf0cc6fd4dea9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (2x+6)(2x-6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5b3b43f8e1142337f367f44c27632578_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (x+7)(x-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"134\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80db9b8cb45a16f2c4b4dd810f0ef940_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (x-4y)(x+4y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"153\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Karena semua persamaan penting dalam latihan ini adalah perkalian jumlah dengan selisih, maka persamaan tersebut diselesaikan dengan rumus yang sama: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e1868f84409086d4b0b21464e4a4f207_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)\\cdot (a-b) =a^2-b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-826c4aec8f005514a14cdc8555c084c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+5)(x-5) &amp;=x^2-5^2\\\\[2ex] &amp; = \\bm{x^2-25}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6793239af84413fb9408c2cb6033e5ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}(2x+6)(2x-6) &amp; =(2x)^2-6^2 \\\\[2ex] &amp; = \\bm{4x^2-36}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"260\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-630b94cf4be27c5f7b9c87651368634d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}(x+7)(x-7) &amp; =x^2-7^2 \\\\[2ex] &amp; = \\bm{x^2-49}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-80c5451e407a2c0e670c6cb22a74043c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(x-4y)(x+4y) &amp; =(x+4y)(x-4y) \\\\[2ex] &amp; =x^2-(4y)^2\\\\[2ex] &amp; = \\bm{x^2-16y^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"106\" width=\"310\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 4<\/h3>\n<p> Selesaikan semua identitas penting berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f11abde1a676c9efe0dee6544ec7dd35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(x^2+10\\right)\\left(x^2-10\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"177\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d91f0bc70f84a13bc544db52068d89d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(4x^2+2y^3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"126\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e13ca38c8d8b96d56e5c72d75ab1db90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(6x^3-4y^4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"126\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33d63537ffb97df07d85a50a5bd46561_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(8x^3+y^2\\right)\\left(8x^3-y^2\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"193\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d4df947d503beab8b2af90de2d8d605_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ \\left(5x^2-9x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"118\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c65875e01d82840e30ae85d803d45e90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}\\left(x^2+10\\right)\\left(x^2-10\\right) &amp; =\\left(x^2\\right)^2-10^2\\\\[2ex] &amp; = \\bm{x^4-100}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"64\" width=\"294\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-04e0bcf5df362d320cfdb2f87cdc6ddc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(4x^2+2y^3\\right)^2 &amp; =\\left(4x^2\\right)^2+2\\cdot 4x^2\\cdot 2y^3 +\\left(2y^3\\right)^2\\\\[2ex] &amp; = \\bm{16x^4+16x^2y^3+4y^6}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"383\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc3f7dc61f7c44a60c01e0a95de278fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(6x^3-4y^4\\right)^2 &amp;  =\\left(6x^3\\right)^2-2\\cdot 6x^3\\cdot 4y^4 +\\left(4y^4\\right)^2 = \\\\[2ex] &amp;= \\bm{36x^6-48x^3y^4+16y^8}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a4d4a0c86d26820881eb65cb92c3679a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}\\left(8x^3+y^2\\right)\\left(8x^3-y^2\\right) &amp; =\\left(8x^3\\right)^2-\\left(y^2\\right)^2 \\\\[2ex] &amp; = \\bm{64x^6-y^4}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"68\" width=\"335\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-432c4ae0f050bec15e3fa52f426698ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ \\begin{aligned}\\left(5x^2-9x\\right)^2 &amp; =\\left(5x^2\\right)^2-2\\cdot 5x^2\\cdot 9x +\\left(9x\\right)^2 \\\\[2ex] &amp; = \\bm{25x^4-90x^3+81x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"360\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 5<\/h3>\n<p> Hitung produk penting berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca75501df4056045f750323893bee27c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (x+4)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"88\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f1ae5aad30adde91e86d6bb696b6adc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x^2-5\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"100\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-debc2fbed1f43204a1d3b191ce697175_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(2x-1\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"99\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-641ad931932e2d32742c712339a76903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ (5x+2)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menemukan semua hasil kali penting dari soal tersebut, perlu menerapkan rumus jumlah dan selisih pangkat tiga sesuai dengan kasus: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-536cf8075ed9dc1e16eb5da114b79756_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^3 = a^3+3a^2b+3ab^2 +b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a9a96bd2d1f115178fbbcf19c8047c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a-b)^3 = a^3-3a^2b+3ab^2-b^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14695fb807e2df89352fdd1c1dced2ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}(x+4)^3&amp; =x^3+3\\cdot x^2\\cdot 4 +3\\cdot x\\cdot 4^2+4^3\\\\[2ex] &amp; =x^3+3\\cdot x^2\\cdot 4 +3\\cdot x\\cdot 16+64 \\\\[2ex] &amp; = \\bm{x^3+12x^2+48x+64}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"342\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5be0d584351feb0bef5572ca5c9e159a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\left(x^2-5\\right)^3&amp; =\\left(x^2\\right)^3-3\\cdot \\left(x^2\\right)^2\\cdot 5 +3\\cdot x^2\\cdot 5^2-5^3\\\\[2ex] &amp; =x^6-3\\cdot x^4\\cdot 5 +3\\cdot x^2\\cdot 25-125 \\\\[2ex] &amp; = \\bm{x^6-15x^4+75x^2-125}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"110\" width=\"404\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f44f9c3283dad97321644c6e559f64ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{aligned}\\left(2x-1\\right)^3&amp; =\\left(2x\\right)^3-3\\cdot \\left(2x\\right)^2\\cdot 1 +3\\cdot 2x\\cdot 1^2-1^3\\\\[2ex] &amp; =8x^3-3\\cdot 4x^2\\cdot 1 +3\\cdot 2x\\cdot 1-1 \\\\[2ex] &amp; = \\bm{8x^3-12x^2+6x-1}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"401\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-156e7619e4d6ef129f04250af8197d2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}(5x+2)^3&amp; =(5x)^3+3\\cdot \\left(5x\\right)^2\\cdot 2 +3\\cdot 5x\\cdot 2^2+2^3\\\\[2ex] &amp; =125x^3+3\\cdot 25x^2\\cdot 2 +3\\cdot 5x\\cdot 4+8 \\\\[2ex] &amp; = \\bm{125x^3+150x^2+60x+8}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 6<\/h3>\n<p> Selesaikan persamaan penting berikut ini: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1e2db1dacfd70bcdf33589968427633_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(x^2+x+5\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"132\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6eddfbe2255cd7f5b8d829ff6aef4e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(x^2+3x-4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"141\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-577a572f8974257e1d6d7b8411f75f4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(4x^2-6x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"150\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a26869f17cf7889324d3d5e6755b800_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(x^3-3x^2-9x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"159\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menyelesaikan semua identitas penting ini, kita perlu menggunakan rumus kuadrat trinomial, yaitu: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-749dc45e7a00d7122d62b774706bdcc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{array}{l} \\left(x^2+x+5\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+x^2+5^2+2\\cdot x^2 \\cdot x + 2 \\cdot x^2 \\cdot 5 +2 \\cdot x \\cdot 5 = \\\\[2ex] = x^4+x^2+25+2x^3 + 10x^2 +10x = \\\\[2ex] = \\bm{x^4+2x^3+11x^2+10x+25} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"438\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1f51f18b3c1118b6e8e3acc3441b0ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{array}{l}\\left(x^2+3x-4\\right)^2 = \\\\[2ex] = \\left(x^2\\right)^2+(3x)^2+(-4)^2+2\\cdot x^2 \\cdot 3x + 2 \\cdot x^2 \\cdot (-4) +2 \\cdot 3x \\cdot (-4) = \\\\[2ex] = x^4+9x^2+16+6x^3-8x^2-24x = \\\\[2ex] = \\bm{x^4+6x^3+x^2-24x+16} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"557\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-49c6496bf684296d315fc96d9cb5857e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\begin{array}{l}\\left(4x^2-6x+3\\right)^2 = \\\\[2ex] = \\left(4x^2\\right)^2+(-6x)^2+3^2+2\\cdot 4x^2 \\cdot (-6x) + 2 \\cdot 4x^2 \\cdot 3 +2 \\cdot (-6x) \\cdot 3 = \\\\[2ex] = 16x^4+36x^2+9-48x^3+24x^2-36x = \\\\[2ex] = \\bm{16x^4-48x^3+60x^2-36x+9} \\end{array}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"570\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cd08035d8402c27c411bcf5b30216cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{array}{l}  \\left(x^3-3x^2-9x\\right)^2 = \\\\[2ex] = \\left(x^3\\right)^2+\\left(-3x^2\\right)^2+(-9x)^2+2\\cdot x^3 \\cdot (-3x^2) + 2 \\cdot x^3 \\cdot (-9x) +2 \\cdot (-3x^2) \\cdot (-9x) = \\\\[2ex] = x^6+9x^4+81x^2-6x^5-18x^4+54x^3 = \\\\[2ex] = \\bm{x^6-6x^5-9x^4+54x^3+81x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"136\" width=\"682\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 7<\/h3>\n<p> Hitung identitas penting berikut dengan akar dan pecahan (kesulitan tinggi): <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fa707460c7ffd54eac2fb73d35c6734_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\displaystyle \\left(\\sqrt{2x}-\\sqrt{8x}\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"35\" width=\"146\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bfc1a9172f021d35179b9df54d8a126_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\displaystyle \\left(\\frac{1}{2}x^2+\\frac{5}{3}x\\right)\\left(\\frac{1}{2}x^2-\\frac{5}{3}x\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"231\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b432940794af539924a002fac6533134_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\left(\\frac{4}{3}x^2+\\frac{3}{2}x\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"137\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-47d530888455eb1be7950e4d42776002_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\Bigl(9x^3+\\sqrt{5x}\\Bigr)\\Bigl(9x^3-\\sqrt{5x}\\Bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"230\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Bagian A) terdiri dari pengurangan kuadrat, jadi untuk menyelesaikannya harus diterapkan rumus yang sesuai dan, sebagai tambahan, harus diingat bahwa jika suatu akar dikuadratkan, maka disederhanakan:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-999e71bf062ea313780439abaf2b4295_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\begin{aligned}\\left(\\sqrt{2x}-\\sqrt{8x}\\right)^2 &amp; =\\left(\\sqrt{2x}\\right)^2-2\\cdot \\sqrt{2x}\\cdot \\sqrt{8x} +\\left(\\sqrt{8x}\\right)^2\\\\[2ex] &amp; =2x-2\\sqrt{2x\\cdot 8x} +8x \\\\[2ex] &amp; = 10x-2\\sqrt{16x^2} \\\\[2ex] &amp;= 10x-2\\cdot 4x = \\\\[2ex] &amp; = 10x -8x \\\\[2ex] &amp; = \\bm{2x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"247\" width=\"444\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Bagian B) membahas penjumlahan dengan pengurangan dan monomial memiliki koefisien pecahan, yang dengannya hasil kali penting ini harus ditentukan menggunakan rumus penjumlahan dengan pengurangan dan sifat-sifat pecahan:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24593bac7bd4a9837e1f18fef4f9c38e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\begin{aligned}\\displaystyle \\left(\\frac{1}{2}x^2+\\frac{5}{3}x\\right)\\left(\\frac{1}{2}x^2-\\frac{5}{3}x\\right) &amp; \\displaystyle =\\left(\\frac{1}{2}x^2\\right)^2-\\left(\\frac{5}{3}x\\right)^2\\\\[4ex] \\displaystyle &amp; =\\frac{1^2}{2^2}x^4-\\frac{5^2}{3^2}x^2\\\\[4ex]\\displaystyle &amp; = \\mathbf{\\frac{1}{4}}\\bm{x^4-}\\mathbf{\\frac{25}{9}}\\bm{x^2} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"195\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Persamaan penting di bagian C) adalah jumlah yang dipangkatkan menjadi 2 dan, juga, terdiri dari pecahan. Oleh karena itu, untuk menghitungnya kita perlu menggunakan rumus jumlah kuadrat ditambah sifat-sifat pecahan:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c50dcca740e334b34f746e71f4af826e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\displaystyle \\begin{aligned} \\left(\\frac{4}{3}x^2+\\frac{3}{2}x\\right)^2 &amp; = \\left(\\frac{4}{3}x^2\\right)^2+2\\cdot \\frac{4}{3}x^2\\cdot \\frac{3}{2}x +\\left(\\frac{3}{2}x\\right)^2\\\\[2ex] &amp; = \\frac{4^2}{3^2}x^4+2\\cdot \\frac{12}{6}x^3 +\\frac{3^2}{2^2}x^2 \\\\[2ex] &amp;= \\frac{16}{9}x^4 +2\\cdot 2x^3+\\frac{9}{4}x^2 \\\\[2ex] &amp; = \\mathbf{\\frac{16}{9}} \\bm{x^4+4x^3+}\\mathbf{\\frac{9}{4}}\\bm{x^2}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"222\" width=\"416\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Identitas penting terakhir berkaitan dengan jumlah dikalikan selisih dengan koefisien irasional, jadi kita menerapkan rumus untuk jumlah dikali selisih lalu menyederhanakan akar kuadratnya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c540e4315e9e84faaa2ff656c4eec21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\begin{aligned}\\Bigl(9x^3+\\sqrt{5x}\\Bigr)\\Bigl(9x^3-\\sqrt{5x}\\Bigr) &amp; =\\Bigl(9x^3\\Bigr)^2-\\left(\\sqrt{5x}\\right)^2\\\\[2ex] &amp; = \\bm{81x^6-5x}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"402\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Otros-tipos-de-identidades-notables\"><\/span> Tipe identitas penting lainnya<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Semua identitas penting yang kita bahas di atas adalah yang paling umum digunakan. Namun, dalam matematika terdapat jenis produk penting lainnya yang juga menarik untuk diketahui, karena digunakan untuk tujuan yang berbeda.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-de-cubos\"><\/span> jumlah kubus<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Jumlah kubus<\/strong> sama dengan binomial yang kedua sukunya positif dan, terlebih lagi, akar pangkat tiganya eksak. Oleh karena itu, ekspresi aljabar jumlah kubus adalah <strong>a <sup>3<\/sup> +b <sup>3<\/sup><\/strong> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-somme-des-cubes.png\" alt=\"identitas, produk, atau ikatan penting terselesaikan\" class=\"wp-image-2663\" width=\"306\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Rumus perkalian penting ini digunakan untuk memfaktorkan suatu polinomial, yaitu melalui rumus tersebut kita mengubah polinomial menjadi hasil kali binomial dengan trinomial.<\/p>\n<p> Agar Anda dapat melihat cara melakukannya, berikut ini contoh penerapan identitas luar biasa ini:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51a33d4fd52d94afa78abd4be81cf7f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+8\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"48\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Memang benar ekspresi sebelumnya terdiri dari penjumlahan pangkat tiga karena akar pangkat tiga dari monomial<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5e0e31e823b4d5c9a90c0d01d5e8fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> eksak (tidak memberikan angka desimal) dan angka 8 juga: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1105a3d4349d8c5d3eae7b16dc079ef1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{x^3} = x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71ce4de717d54a2fb6c3282de038913a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{8} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"54\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4171629bd68508074adfbf81cf982b5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+8=x^3+2^3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"127\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, kita dapat menggunakan rumus jumlah kubus sempurna untuk mengubah ekspresi kubik menjadi hasil kali binomial dengan trinomial: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f673c682dcdc4e38ce08e8a77cf4e7f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3 = (a+b)(a^2-ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f30ea5f0f7ef1b89a16f1d00e54d063c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} x^3 +2^3 &amp; = (x+2)(x^2-x \\cdot 2 + 2^2) \\\\[2ex] &amp; = (x+2)(x^2-2x + 4) \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Diferencia-de-cubos\"><\/span>perbedaan kubus<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Selisih (atau pengurangan) kubus<\/strong> adalah binomial yang terdiri dari suku positif dan suku negatif yang akar pangkat tiganya eksak. Dengan kata lain, selisih kubus dinyatakan dalam bentuk <strong>a <sup>3<\/sup> -b <sup>3<\/sup><\/strong> . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-pour-la-difference-ou-la-soustraction-de-cubes.png\" alt=\"Latihan yang diselesaikan untuk memfaktorkan polinomial dengan identitas penting\" class=\"wp-image-2731\" width=\"305\" height=\"306\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Mari kita buat sebuah contoh sehingga Anda dapat melihat bagaimana tipe identitas yang luar biasa ini diselesaikan:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3cb03de00c11c61a46f0473cac25b903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3-27\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"57\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Perbedaan pangkat tiga karena keduanya merupakan akar pangkat tiga dari monomial<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5e0e31e823b4d5c9a90c0d01d5e8fcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> karena 27 benar: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1105a3d4349d8c5d3eae7b16dc079ef1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{x^3} = x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4379f1587711ba1048df5a84748d12da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt[3]{27} = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"64\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64a522b09529e310087510320b8c3ad6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3-27=x^3-3^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, Anda dapat menggunakan rumus selisih kubus sempurna untuk memfaktorkan binomial: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-52d5ddbcfea3f7d3d492b8f0ead32dc2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3-b^3  = (a-b)(a^2+ab+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-342a448f849bf2856ad9a5394733faeb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} x^3 -3^3 &amp; = (x-3)(x^2+x \\cdot 3 + 3^2) \\\\[2ex] &amp; =(x-3)(x^2+3x + 9)  \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Producto-de-binomios-con-un-termino-comun\"><\/span> Hasil kali binomial dengan suku yang sama<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Hasil kali penting ini digunakan untuk mengubah hasil kali dua binomial yang memiliki suku yang sama menjadi polinomial kuadrat. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-deux-binomes-avec-un-terme-en-commun-2.png\" alt=\"identitas, produk, atau persamaan yang luar biasa pdf\" class=\"wp-image-2793\" width=\"264\" height=\"265\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Berikut adalah contoh rumit dari jenis produk luar biasa ini: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8447db6a2246c09b2e7be29f8050a3d6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} (x+4)(x+5) &amp;= x^2+(4+5)x+4\\cdot 5 \\\\[2ex] &amp; = x^2+9x+20 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"286\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Mas-identidades\"><\/span> lebih banyak identitas<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Meskipun identitas terkenal adalah yang paling terkenal karena paling umum, perlu dicatat bahwa ada lebih banyak identitas dengan nama lain juga. Berikut daftar identitas lain yang kurang dikenal jika Anda penasaran:<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">Identitas Lagrange:<\/span> <\/li>\n<ul style=\"list-style-type:circle\">\n<li style=\"margin-bottom:10px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a9d12f9a33e8194fbe48dde93ca8918_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a^2+b^2)\\cdot (x^2+y^2) =(ax+by)^2+(ay-bx)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-439c16d816ff61c2ac4a3c73f04b9a5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a^2-b^2)\\cdot (x^2-y^2) =(ax+by)^2-(ay+bx)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">Identitas legenda:<\/span> <\/li>\n<ul style=\"list-style-type:circle\">\n<li style=\"margin-bottom:10px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb371e0857e9b183bb1db9c370d7b779_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2+(a-b)^2=2(a^2+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"240\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li style=\"margin-bottom:10px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9b82bb4daacd22465587454eb1ec9350_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^2-(a-b)^2=4ab\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"191\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cc07e405f725019198b41ee5054a97af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b)^4-(a-b)^4=8ab(a^2+b^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"257\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">Identitas Argand:<\/span> <\/li>\n<ul style=\"list-style-type:circle\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c8de9c0bcd37989daee33145b0d84cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x^2+x+1)(x^2-x+1) = x^4+x^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"297\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#000000;font-weight: normal;\">Identitas Gaussian:<\/span> <\/li>\n<ul style=\"list-style-type:circle\">\n<li style=\"margin-bottom:10px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7ad1a682cc650b01984e4a1d9ec2774_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3+c^3-3abc= (a+b+c)(a^2+b^2+c^2-ab-bc-ac)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"470\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d6b2da7d99ade85355a54bee45b79a9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^3+b^3+c^3-3abc= \\frac{1}{2} (a+b+c)\\left[(a-b)^2+(b-c)^2+(a-c)^2\\right]\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"499\" style=\"vertical-align: -7px;\"><\/p>\n<\/li>\n<\/ul>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aplicaciones-de-las-identidades-notables\"><\/span> Aplikasi identitas terkenal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Jika Anda sudah sampai sejauh ini, berarti Anda sudah tahu cara melakukan perhitungan dengan identitas penting. Terang! Tapi sungguh\u2026 untuk apa identitas terkenal itu? Dan kapan identitas penting digunakan?<\/p>\n<p> Seperti yang telah kita lihat di seluruh artikel ini, tujuan utama dari identitas penting adalah untuk menyederhanakan perhitungan. Artinya, berkat produk yang luar biasa, kita dapat secara langsung menyelesaikan pangkat tertentu dari polinomial kompleks tanpa harus melakukan operasi yang sulit.<\/p>\n<p> Namun persamaan penting juga memiliki fungsi lain, seperti memfaktorkan polinomial dan menyelesaikan kuadrat. Kemudian kita akan melihat terdiri dari apa saja masing-masing aplikasi ini. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Factorizacion-de-polinomios\"><\/span> Memfaktorkan polinomial<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Beberapa jenis polinomial yang sangat spesifik dapat difaktorkan dengan identitas penting. Misalnya, jika kita menemukan polinomial yang terdiri dari dua suku yang merupakan kuadrat sempurna (akar kuadratnya eksak), kita dapat memfaktorkannya menggunakan rumus persamaan luar biasa dari hasil kali penjumlahan dan selisih:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6d6db5dc6ec48fed829d1d16b8803df3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-b^2 =(a+b)(a-b)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"182\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-45661a0693691876fa89055734b67833_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-9 =(x+3)(x-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Demikian pula, trinomial yang memperhatikan identitas penting dari kuadrat penjumlahan atau pengurangan dapat difaktorkan: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-3\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-993d882ed2bfdc18bb18dde412cbf270_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2+2ab+b^2=(a+b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de28c721fc9e8b036c8ed290c4873cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+4x+4=(x+2)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cb72c2445ecf74dd260a35c83c91156_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2-2ab+b^2=(a-b)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-666a4ad12f00ead4f6e6a1135c228fa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-10x+25=(x-5)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> Demikian pula, setelah suatu polinomial difaktorkan, akar-akar (atau nol) dari polinomial tersebut dapat ditemukan. Meski begitu, konsep ini sedikit lebih rumit untuk dipahami, jadi jika Anda lebih tertarik, kami sarankan untuk mencari penjelasannya di mesin pencari di website kami (kanan atas), karena kami memiliki artikel lengkap yang menjelaskannya.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Completacion-de-cuadrados\"><\/span>penyelesaian persegi<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Menyelesaikan kuadrat adalah prosedur matematika yang digunakan untuk mengubah trinomial kuadrat menjadi jumlah kuadrat plus (atau minus) suatu angka.<\/p>\n<p> Diberikan trinomial apa pun:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7dfafe787a9309542e1e1063e6056ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ax^2+bx+c\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"96\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Kemudian trinomial tersebut dapat diubah menjadi ekspresi berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8304611362475f8451df85e99c1f7675_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a(x+h)^2+k\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"104\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> dimana parameternya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14b463d0ecd5b350ced6cf1d6a12eef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> dihitung dengan rumus berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6475634f6ee5ca2a7e85945265a0b943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h=\\cfrac{b}{2a} \\qquad \\qquad k=c-ah^2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"214\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Meskipun bagi Anda tampaknya tidak demikian, kedua rumus ini disimpulkan dari identitas penting. Jadi, berkat produknya yang luar biasa, kotak-kotak itu bisa diselesaikan.<\/p>\n<p> Sebagai contoh, kami akan menerapkan prosedur ini pada trinomial berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c85718d3d2ce230bbfb0ea503d218ad7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^2+4x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"98\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Kami menghitung parameternya<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-14b463d0ecd5b350ced6cf1d6a12eef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> Dan <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cf6d2c84f82625cb8a795ee1394251f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2fb8b0aec746411e81d4de8430957904_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h=\\cfrac{b}{2a}=\\cfrac{4}{2\\cdot 2} =1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"142\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84e97942072ca2139743f4cb2f853c44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=c-ah^2 = 3-2\\cdot 1^2 = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"214\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dan, oleh karena itu, polinomialnya tetap: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-00dc44f1798a5fab144056da5829a276_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2(x+1)^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"101\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Di sini Anda akan menemukan penjelasan tentang resolusi semua jenis identitas terkenal (atau produk terkenal). Anda akan dapat melihat rumus dari semua identitas penting, serta contoh dan latihan yang diselesaikan langkah demi langkah. Selain itu, kami akan menunjukkan kepada Anda untuk apa aturan matematika terkenal ini digunakan. \ud83d\udc49\ud83d\udc49 Di bawah ini kami menjelaskan setiap identitas &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/identitas-produk-persamaan-penting-yang-diselesaikan-latihan\/\"> <span class=\"screen-reader-text\">Identitas terkenal (atau produk terkenal)<\/span> Selengkapnya &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[41],"tags":[],"class_list":["post-352","post","type-post","status-publish","format-standard","hentry","category-penjelasan-matematis"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Identitas terkenal (atau produk terkenal) -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/identitas-produk-persamaan-penting-yang-diselesaikan-latihan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Identitas terkenal (atau produk terkenal) -\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan penjelasan tentang resolusi semua jenis identitas terkenal (atau produk terkenal). 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Selain itu, kami akan menunjukkan kepada Anda untuk apa aturan matematika terkenal ini digunakan. \ud83d\udc49\ud83d\udc49 Di bawah ini kami menjelaskan setiap identitas &hellip; Identitas terkenal (atau produk terkenal) Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/identitas-produk-persamaan-penting-yang-diselesaikan-latihan\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T00:53:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/identites-produits-ou-egalites-notables.png\" \/>\n<meta name=\"author\" content=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"12 menit\" \/>\n<script 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