x的三次方-2x²+1(因式分解)

问题描述:

x的三次方-2x²+1(因式分解)

x的三次方-2x²+1
=x³-2x²+x-x+1
=(x³-x²)-(x²-x)-(x-1)
=x²(x-1)-x(x-1)-(x-1)
=(x²-x-1)(x-1)

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