化简:x的立方减3x的平方+3x-1

问题描述:

化简:x的立方减3x的平方+3x-1

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