Question

Упростите выражение (2a²-2b²):(b/a-a/b)

Answer 1

$<var>(2a^2-2b^2):(\frac{b}{a}-\frac{a}{b})=2(a^2-b^2):(\frac{b^2-a^2}{ab})=2(a-b)(a+b)*\frac{ab}{(b-a)(b+a)}</var>$ =$<var>2(a-b)*\frac{ab}{b-a}=-2(b-a)*\frac{ab}{(b-a)}=-2ab</var>$