x的三次+x的两次-x-1因式分解

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x的三次+x的两次-x-1因式分解
x的三次+x的两次-x-1因式分解

x的三次+x的两次-x-1因式分解
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)²(x-1)