Question

Fatore completamente o polinômio a⁴ - 1.

Answer 1

Resposta:

$a^4-1=\left(a^2+1\right)\left(a+1\right)\left(a-1\right)$

Explicação passo-a-passo:

$a^4-1=\\\left(a^2\right)^2-1^2=\\\left(a^2+1\right)\left(a^2-1\right)=\\=\left(a^2+1\right)\left(a+1\right)\left(a-1\right)$