Question

$(x - y)(x + y)( {x}^{2} + y {)}^{2}$
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Answer 1

Olá, boa noite!

Resposta:

$\boxed{\color{red}{\mathsf{-x^4 y^2 +x^6 -2x^2 y^3 +2x^4 y -y^4 +x^2 y^2}}}$

Explicação passo-a-passo:

$\mathsf{(x-y)(x+y)(x^2 +y)^2}$

$\mathsf{(x \cdot x +xy -yx -y \cdot y) (x^2 + y)^2}$

$\mathsf{ (x^2 - y)^2 (x^2 + y)^2}$

$\mathsf{(x^2 -y^2)(x^2 x^2 +x^2 y +yx^2 +y \cdot y)}$

$\mathsf{(x^2 -y^2)(x^4 +2x^2 y +y^2}$

$\mathsf{x^2 x^4 +x^2 (2x^2 y) + x^2 y^2 -y^2 x^4 -y^2 (2x^2 y) -y^2 y^2}$

$\mathsf{-x^4 y^2 +x^6 -2x^2 y^3 +2x^4 y -y^4 +x^2 y^2}$

=================== Espero ter ajudado ===================

Abraços!