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问题: 一道计算题

分解因式

x^3-x^2-x+1

解答:

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