Question

Simplificando y = a^4 - b^4/ (a² + b² + 2ab).(a² + b² - 2ab) - 2ab/ a² - b² . , obtem-se?

Answer 1

(a²+2ab+b²-4ab)/(a+b)(a-b)=
(a²-2ab+b²)/(a+b)(a-b) =
(a-b)² / (a+b)(a-b) =
(a-b)(a-b) / (a+b)(a-b) =
(a-b)/(a+b)