Question

A soma (x + 1)² + (x - 2)³ e igual a? * A X³+X²-7 B x³−5x²+14x−7 C 12X²+3X+8 D x²−5x³+14x−7

Answer 1

Resposta:

$D) x^3 -5x^2 +14x -7$

Explicação passo-a-passo:

$(x + 1)^2 + (x - 2)^3\\\\=x^2 + 2x + 1 + (x - 2)^2(x - 2)\\\\=x^2 + 2x + 1 + (x^2-4x+4)(x - 2)\\\\=x^2 + 2x + 1 + (x^3-4x^2+4x)-(2x^2-8x+8)\\\\=x^2 + 2x + 1 + x^3-4x^2+4x-2x^2+8x-8)\\\\=x^3 + x^2 - 4x^2 - 2x^2 +2x + 4x +8x + 1 -8\\\\=x^3 -5x^2 +14x -7$

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