Question

(a - 1) (a2 + 1) ajuda ai tenho 30 mim para saber a resposta

Answer 1

Resposta:

$\left(a-1\right)\left(a^2+1\right)\\\\\mathrm{Aplique\:o\:metodo\:FOIL}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=a,\:b=-1,\:c=a^2,\:d=1\\\\aa^2+a\cdot \:1+\left(-1\right)a^2+\left(-1\right)\cdot \:1\\\\\mathrm{Aplicar\:as\:regras\:dos\:sinais}\\\\+\left(-a\right)=-a\\\\a^2a+1\cdot \:a-1\cdot \:a^2-1\cdot \:1\\\\=a^3-a^2+a-1<<<$