выполните действия2a÷a-b + 2a÷a+b. Created by KatyaFam98. algebra-ru

выполните действия2a÷a-b + 2a÷a+b...

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$\frac{2a}{a-b} + \frac{2a}{a+b} =2a*( \frac{1}{a-b} + \frac{1}{a+b} )= \\ \\ 2a*( \frac{a+b+a-b}{(a-b)(a+b)} =2a*( \frac{2a}{a^2-b^2} )= \frac{4a^2}{a^2-b^2}$

5 votes Thanks 4

julyap $\frac{2a}{a-b} + \frac{2a}{a+b} = \frac{2a*(a+b)}{(a-b)(a+b)} + \frac{2a(a-b)}{(a-b)(a+b)} = \frac{2a(a+b)+2a(a-b)}{(a-b)(a+b)} = \\ =\frac{2a^{2} +2ab+2a^{2}-2ab}{a ^{2} -b ^{2} } = \frac{4a ^{2} }{a ^{2} -b ^{2} }$

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