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