Упростите выражение!!!!! Прошу ...... Created by Katya0005. algebra-ru

Упростите выражение!!!!! Прошу...

Katya0005 @Katya0005

July 2022 1 7 Report

Упростите выражение!!!!! Прошу .....

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nafanya2014

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1) $\frac{2x+y}{xy(2x-y)}- \frac{2}{y(y+2x)} = \frac{(2x+y)(2x+y)-2x(2x-y)}{xy(2x-y)(2x+y)}= \\ = \frac{4 x^{2} +4xy+y ^{2}-4 x^{2} +2xy }{xy(2x-y)(2x+y)}=\frac{6xy+y ^{2} }{xy(2x-y)(2x+y)}=\frac{y(6x+y) }{xy(2x-y)(2x+y)}$

2) $\frac{y(6x+y) }{xy(2x-y)(2x+y)}\cdot \frac{x(4 x^{2} -y ^{2} )}{(6x+y)^{2} } = \frac{1}{6x+y}$

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