Question

спростити вираз поможіть​

Answer 1

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