Question

Simplifique a expressão: 
(a+b)² + (a-b)²

Answer 1

(a+b)² + (a-b)²
(a+b).(a+b) + (a-b).(a-b)
a² + ab + ab + b²+ (a² - ab - ab + b²)
a² + 2ab +  b² + (a² - 2ab + b²)
a² + 2ab + b² + a² - 2ab + b²
a² + a² + 2ab - 2ab + b² + b²      elimina + 2ab - 2ab
2a² + 2b²
2.(a² + b²)

Answer 2

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