Question

Simplifique: (x³−3x²+3x−1) /(−x²+2x−1)
gostaria de instruções do zero.

Answer 1

Resposta:

****(x-1)³=x³-3x²+3x-1

****(x-1)³=x³-1-3x(x-1)

-x²+2x-1=-(x²-2x+1) =-(x-1)²

x³−3x²+3x−1 =x³-1 -3x*(x-1) = (x-1)*(x²+x+1)  =(x-1)³

(x³−3x²+3x−1) /(−x²+2x−1) =(x-1)³/[-(x-1)²] =-(x-1) =1-x  , sendo que x≠ 1