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

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