Question

алгебра
$ab + \frac{ab}{a +b} ( \frac{a + b }{a - b} - a - b )$
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Answer 1

Ответ:

$ab+\dfrac{ab}{a+b}\cdot \Big(\dfrac{a+b}{a-b}-a-b\Big)=ab+\dfrac{ab}{a+b}\cdot \Big(\dfrac{a+b}{a-b}-(a+b)\Big)=\\\\\\=ab+\dfrac{ab}{a+b}\cdot \dfrac{a+b}{a-b}-\dfrac{ab}{a+b}\cdot (a+b)=ab+\dfrac{ab}{a-b}-ab=\dfrac{ab}{a-b}$