因式分解:(x³-x²)-x+1

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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