化简:x三次方+2x平方-6x+3x³+2x²-6x+3

问题描述:

化简:x三次方+2x平方-6x+3
x³+2x²-6x+3

(x^3-x^2)+3(x-1)^2
x^2(x-1)+3(x-1)^2
(x-1)(x^2+3x-3)

原式=x³+2x²-6x+3
=x³-x²+3x²-6x+3
=x²(x-1)+3(x-1)²
=(x-1)(x²+3x-3)