Question

Ajuda, não estou conseguindo resolve esse exercícios (foto), alguém pode me explicar com fazer... Obrigada!

Answer 1

$\dfrac{a^2+ab}{a^2-b^2}-\dfrac{a^2+ab}{a^2+2ab+b^2}=\\\\\\\dfrac{a(a+b)}{(a+b)\cdot(a-b))}-\dfrac{a(a+b)}{(a+b)\cdot(a+b)}=\\\\\\\dfrac{a}{(a-b)}-\dfrac{a}{(a+b)}=\\\\\\\dfrac{a(a+b)-a(a-b)}{(a-b)\cdot(a+b)}=\\\\\\\dfrac{a^2+ab-a^2+ab}{a^2-b^2}=\\\\\\\dfrac{a^2-a^2+ab+ab}{a^2-b^2}=\\\\\\\boxed{\dfrac{2ab}{a^2-b^2}}$