因式分解:4x(1-x)的三次方+2(x-1)的平方

问题描述:

因式分解:4x(1-x)的三次方+2(x-1)的平方
急急急

4x(1-x)的三次方+2(x-1)²
=-4x(x-1)的三次方+2(x-1)²
=(x-1)²[-4x(x-1)+2]
=(x-1)²[-4x²+4x+2]
=-2(x-1)²(2x²-2x-1)