因式分解x³-x²-x+1

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因式分解x³-x²-x+1
因式分解x³-x²-x+1

因式分解x³-x²-x+1
x³-x²-x+1
=(x³-x²)-(x-1)
= x²(x-1)-(x-1)
=(x²-1)(x-1)
=(x-1)²(x+1)
求采纳

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