1. Сократить дробь \frac{3m^{2}-2mn-n^{2}}{6m^{2}-7mn+n^{2}}. Created by vita201. algebra-ru

1. Сократить дробь \frac{3m^{2}-2mn-n^{2}}{6m^{2}-7mn+n^{2}}...

vita201 @vita201

July 2022 1 2 Report

1. Сократить дробь \frac{3m^{2}-2mn-n^{2}}{6m^{2}-7mn+n^{2}}

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inblu

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$\frac{3m^2-2mn-n^2}{6m^2-7mn+n^2}= \frac{2m^2+m^2-2mn-n^2}{6m^2-6mn-mn+n^2}= \frac{(2m^2-2mn)+(m^2-n^2)}{(6m^2-6mn)-(mn-n^2)}=\\=\frac{2m(m-n)+(m-n)(m+n)}{6m(m-n)-n(m-n)}= \frac{(m-n)(2m+m+n)}{(m-n)(6m-n)}= \frac{3m+n}{6m-n}$

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vita201 August 2022 | 0 Ответы

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