Question

9ª questão, resposta e cálculos

Answer 1

$\frac{a^2+2ab+b^2}{a^2-b^2}\div\frac{a-b}{a+b}=\\\\\\\frac{(a+b)^2}{(a+b)(a-b)}\times\frac{a+b}{a-b}=\\\\\\\frac{(a+b)^2}{(a-b)(a-b)}\times\frac{a+b}{(a+b)}=\\\\\\\frac{(a+b)^2}{(a-b)^2}\times1=\\\\\\\boxed{\left[\frac{(a+b)}{(a-b)}\right]^2}$