Question

Dados A = x + 1 e B = x² - 2x + 1 e C = x² - 3, efetue as multiplicações indicadas
a) AxB
b) AxC

Answer 1

$A=x+1\\B={x}^{2}-2x+1\\C={x}^{2}-3$

a)

$(x+1)({x}^{2}-2x+1)\\={x}^{3}-2{x}^{2}+x+{x}^{2}-2x+1$

$\mathsf{{x}^{3}-{x}^{2}-x+1}$

b)

$\mathsf{A\times\,B=(x+1)({x}^{2}-3)={x}^{3}+{x}^{2}-3x-3}$