Question

(x2 - y2) (x + y) = ​

Answer 1

Resposta:

x³+x²y-y²x-y³

Explicação passo-a-passo:

(x²-y²)(x+y)

Aplique a propriedade distributiva:

x².x+x².y-y².x-y².y=

x⁽²⁺¹⁾+x².y-y².x-y⁽²⁺¹⁾=

x³+x²y-y²x-y³

Answer 2

A expressão algébrica (x² – y²)(x + y) equivale a (x – y)(x + y)².

(x² – y²)(x + y) = (x² + 0 – y²)(x + y)

(x² – y²)(x + y) = (x² + xy – xy – y²)(x + y)

(x² – y²)(x + y) = [x(x + y) – y(x + y)](x + y)

(x² – y²)(x + y) = (x – y)(x + y)(x + y)

(x² – y²)(x + y) = (x – y)(x + y)²