Question

2.2 упростите выражение

Answer 1

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

Answer 2

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