因式分解:(x³-x²)-x+1

问题描述:

因式分解:(x³-x²)-x+1

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