{"id":95,"date":"2023-09-17T07:28:52","date_gmt":"2023-09-17T07:28:52","guid":{"rendered":"https:\/\/mathority.org\/nl\/verdeling-van-monomen-verdeel-voorbeelden-en-opgeloste-oefeningen\/"},"modified":"2023-09-17T07:28:52","modified_gmt":"2023-09-17T07:28:52","slug":"verdeling-van-monomen-verdeel-voorbeelden-en-opgeloste-oefeningen","status":"publish","type":"post","link":"https:\/\/mathority.org\/nl\/verdeling-van-monomen-verdeel-voorbeelden-en-opgeloste-oefeningen\/","title":{"rendered":"Verdeling van monomialen"},"content":{"rendered":"<p>Op deze pagina leggen we uit hoe je monomialen kunt verdelen. Daarnaast kun je voorbeelden zien van de verdeling van monomials en zelfs oefenen met oefeningen die stap voor stap worden opgelost. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-se-realiza-la-division-de-monomios\"><\/span> Hoe zijn monomialen verdeeld? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> In de wiskunde is het resultaat van de <strong>deling van monomialen<\/strong> een andere monomial waarvan de co\u00ebffici\u00ebnt gelijk is aan het quoti\u00ebnt van de co\u00ebffici\u00ebnten van de monomialen en waarvan het letterlijke deel wordt verkregen door de variabelen te delen die dezelfde basis hebben, dat wil zeggen door hun exponenten af te trekken. . <\/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\/division-de-monomes-1.png\" alt=\"wat is de verdeling van monomialen\" class=\"wp-image-317\" width=\"201\" height=\"202\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Om twee verschillende monomialen te verdelen, delen we daarom eenvoudigweg de co\u00ebffici\u00ebnten door elkaar en trekken we de exponenten af van de machten die dezelfde basis hebben.<\/p>\n<p> Uiteraard kan elke verdeling van monomialen ook als een breuk worden uitgedrukt:<\/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-d022dbe3ddc38f031f0bb5dd4a8a6b11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3y^2z : 2x^2y = \\cfrac{8x^3y^2z}{2x^2y} =  4xyz\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"243\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Ten slotte moet eraan worden herinnerd dat de <strong>regel (of wet) van tekens<\/strong> ook van toepassing is op de verdeling van de co\u00ebffici\u00ebnten van monomialen, aangezien de algebra\u00efsche deling van monomialen uit een rekenkundige bewerking bestaat. DUS:<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">Een positieve monomial gedeeld door een andere positieve monomial is gelijk aan een positieve monomial:<\/span><\/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-1f33fb7914155162bc947835cc792ac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^9: 2x^3 = 4x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"118\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">Een positieve monomial gedeeld door een negatieve monomial (of omgekeerd) is gelijk aan een negatieve monomial:<\/span> <\/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-56a713abf061bcf6ea01b0e4c3c9cfdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8x^9: 2x^3 = -4x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"145\" 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-9251f03cce0e96bdc778bac0549fc95d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^9: (-2x^3) = -4x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">Twee negatieve monomialen gedeeld door elkaar geven een positieve monomial:<\/span> <\/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-d03cf4af22aa6023076c57616e57cda2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8x^9: (-2x^3) = 4x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-divisiones-de-monomios\"><\/span> Voorbeelden van de verdeling van monomials<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Zodat u duidelijk kunt begrijpen hoe twee of meer monomials zijn verdeeld, laten we hieronder enkele voorbeelden van de verdeling tussen monomials achter: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0345d3bf8afc735b7e499584142fef76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^6 : 7x^4= (7:7)x^{6-4} = 1x^2=x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ba837b0d16f0fe2c78d057c053a72c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12y^5 : 4y^2= (12:4)y^{5-2} = 3y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99ce1c658885782a0de61d4acaae8f29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"15x^7y^6 :3x^4y^5= (15:3)x^{7-4}y^{6-5} = 5x^3y\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"318\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-344fa60ffc830f331035b6307b698695_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27x^9y^7 :(-3x^5y^2)= (27:(-3))x^{9-5}y^{7-2}= -9x^4y^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"395\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f98903cc9dff2fc60d4baeef41bbce1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-18x^{13} : 3x^4 : (-2x^7) = -6x^9: (-2x^7) = 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"348\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<p> Nu je hebt gezien hoe je de deling tussen twee monomialen kunt berekenen, wil je waarschijnlijk ook weten hoe <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/nl\/deling-van-veeltermen-voorbeelden-opgeloste-oefeningen-verdelen\/\">je een polynoom kunt delen door een monomial<\/a><\/span><\/strong> . Deze handeling is lastiger, maar op deze pagina wordt het stap voor stap uitgelegd en daarnaast kun je oefenen met opgeloste oefeningen, zodat je het zeker begrijpt. \ud83d\udc4d\ud83d\udc4d <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-division-de-monomios\"><\/span> Opgeloste oefeningen over de verdeling van monomials<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Hieronder vind je een aantal opgeloste stapsgewijze oefeningen voor het delen van monomialen, zodat je meer kunt oefenen:<\/p>\n<h3 class=\"wp-block-heading\"> Oefening 1<\/h3>\n<p> Bereken de volgende verdelingen van monomials: <\/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-a538bc97a4e40a71e36ea49db97f40fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 24x^4: 6x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"102\" 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-f13f8653e17792161e57a85ef8ff1612_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16y^9: (-2y^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"127\" 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-3c012bc0db39a9e493700ff1e0f2decb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 32x^7:4x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"102\" 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-99d4a863ec1228a380719edc64fa9128_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -21a^3:(-3a)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"143\" 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>Zie de oplossing<\/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-78e36b09fd9b819a65269c31c08da492_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 24x^4: 6x^2 = (24:6)x^{4-2} = \\bm{4x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"267\" 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-2472c6981c0401c4756e57d5309d1eb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16y^9: (-2y^6)= (16:(-2))y^{9-6} = \\bm{-8y^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"332\" 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-c833d5329ddb943fd0ef826535a62844_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 32x^7:4x^3 = (32:4)x^{7-3}= \\bm{8x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"266\" 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-f6efc9649e503af3b0c0c755d8c58e2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -21a^3:(-3a) = (-21:(-3))a^{3-1} = \\bm{7a^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"347\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Merk op dat wanneer een variabele geen exponent heeft, dit betekent dat deze wordt verheven tot de macht 1. Dus in de laatste bewerking is de term<\/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-e297ef96b1fd873692d6da30b65823ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3a\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"31\" style=\"vertical-align: 0px;\"><\/p>\n<p> Het is gelijkwaardig aan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7f09f8ab29587bf19d72a5887b908256_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3a^1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: 0px;\"><\/p>\n<p> en om deze reden moeten we \u00e9\u00e9n eenheid aftrekken van de exponent van het resultaat.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Oefening 2<\/h3>\n<p> Los de volgende verdelingen van monomials op: <\/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-f49202baf0856606519cd58e33aacc3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 14x^8y^3 :2x^6y\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"129\" 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-79fb495267ded40e1312fd6a7f1757c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 45x^{11}y^9z^5 : (-5x^6y^2z^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"203\" 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-14587185ef378fdf1d49f22cad61e75b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -11a^5b^9 : (-a^2b^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"171\" 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-762e8b754840651b1ca587d33928236d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  42x^5y^3z^6 : 7x^2y^3z^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"170\" 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>Zie de oplossing<\/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-e113dcaa918d17364a102a4324e4a3b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 14x^8y^3 :2x^6y = \\bm{7x^2y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"196\" 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-4f5a784851fe4b03df091d560899f3ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 45x^{11}y^9z^5 : (-5x^6y^2z^3)= \\bm{-9x^5y^7z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"301\" 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-de5d3b92f25ce009d70eb4e122e86be5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -11a^5b^9 : (-a^2b^6) = \\bm{11a^3b^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"245\" 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-625d1260ac08041f2bba7fd2abca8f19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  42x^5y^3z^6 : 7x^2y^3z^4= 6x^3y^0z^2=\\bm{6x^3z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"321\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Bij de laatste bewerking hebben we de term vereenvoudigd<\/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-c0f4ce4bf65bd54e5fc728271a7d7d46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> omdat elk getal verhoogd tot 0 gelijk is aan 1. Dus: <\/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-07d692d378ec44f656fcde7667d5aab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^3y^0z^2=6x^3\\cdot 1 \\cdot z^2=\\bm{6x^3z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"228\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Oefening 3<\/h3>\n<p> Vereenvoudig de volgende verdelingen van monomials zoveel mogelijk: <\/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-f7aad8081273d88d6f7cfb0ff49fe50b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 36x^7y^9z^2 : 6x^2y^4 : 3x^4y^2z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"221\" 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-ba03c9045daa6dca2a63ea52599f546a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -50a^{12}b^8c^9: (-5a^5b^3c^2) : (-2a^4b^2c^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"316\" 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-5fe774e974d252dc8878823240c4ebda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 30x^5y^9z^8 : 2xy^4z^6 :(-3x^2y^3z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"257\" 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-d18d330a8cab5e40dc7a407f87727027_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  48x^8y^6z^{10} : (-6x^4y^{2}z^4) : (-4x^2y^2z^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"307\" 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>Zie de oplossing<\/strong> <\/div>\n<\/div>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef96f742c6b84ef74e124d2cf792cd07_l3.png\" height=\"131\" width=\"862\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{A)} \\ 36x^7y^9z^2 : 6x^2y^4 : 3x^4y^2z = <span class=&quot;ql-right-eqno&quot;>   <\/span><span class=&quot;ql-left-eqno&quot;>   <\/span><img src=&quot;https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-15ac883bd26f4f850847be20ea5dc0d6_l3.png&quot; height=&quot;21&quot; width=&quot;145&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[6x^5y^5z^2: 3x^4y^2z =\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> \\bm{2xy^3z}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221;><\/p>\n<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a193bc76a7252551d169ba5e1b3ffabc_l3.png\" height=\"131\" width=\"625\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{B)} \\ -50a^{12}b^8c^9: (-5a^5b^3c^2) : (-2a^4b^2c^4) = <span class=&quot;ql-right-eqno&quot;>   <\/span><span class=&quot;ql-left-eqno&quot;>   <\/span><img src=&quot;https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ba0797d712d4b791a45f22f300f4130_l3.png&quot; height=&quot;22&quot; width=&quot;182&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[10a^7b^5c^7: (-2a^4b^2c^4) =\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> \\bm{-5a^3b^3c^3}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221;><\/p>\n<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1b0b7fa1a2db103442144f13e4e520d_l3.png\" height=\"131\" width=\"621\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{C)} \\ 30x^5y^9z^8 : 2xy^4z^6 :(-3x^2y^3z) =<span class=&quot;ql-right-eqno&quot;>   <\/span><span class=&quot;ql-left-eqno&quot;>   <\/span><img src=&quot;https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2747851e41f4874dd100d4d92c193876_l3.png&quot; height=&quot;22&quot; width=&quot;182&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[15x^4y^5z^2:(-3x^2y^3z) =\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/>\\bm{-5x^2y^2z}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221;><\/p>\n<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-eddc07d9c1c3ff6c84b72b2cb747a608_l3.png\" height=\"131\" width=\"618\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{D)} \\  48x^8y^6z^{10} : (-6x^4y^{2}z^4) : (-4x^2y^2z^3)=<span class=&quot;ql-right-eqno&quot;>   <\/span><span class=&quot;ql-left-eqno&quot;>   <\/span><img src=&quot;https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6dc0e068dbf84cef6abfe7e1789d245b_l3.png&quot; height=&quot;22&quot; width=&quot;194&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[-8x^4y^4z^6: (-4x^2y^2z^3)=\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> \\bm{2x^2y^2z^3}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Als je meer ge\u00efnteresseerd bent in het delen van monomialen en polynomen, raden we je aan <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/nl\/regels-opgelost-voorbeelden-ruffini-oefeningen\/\">de regel van Ruffini<\/a><\/span><\/strong> te bekijken. Omdat het een methode is waarmee bepaalde indelingen kunnen worden vereenvoudigd en daardoor veel tijd kan worden bespaard en sneller kan worden gegaan.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Op deze pagina leggen we uit hoe je monomialen kunt verdelen. Daarnaast kun je voorbeelden zien van de verdeling van monomials en zelfs oefenen met oefeningen die stap voor stap worden opgelost. Hoe zijn monomialen verdeeld? In de wiskunde is het resultaat van de deling van monomialen een andere monomial waarvan de co\u00ebffici\u00ebnt gelijk is &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/nl\/verdeling-van-monomen-verdeel-voorbeelden-en-opgeloste-oefeningen\/\"> <span class=\"screen-reader-text\">Verdeling van monomialen<\/span> Lees meer &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":[45],"tags":[],"class_list":["post-95","post","type-post","status-publish","format-standard","hentry","category-monomieen"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Hoe zijn monomialen verdeeld? 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