分解因式:x的3次方减2x加1

问题描述:

分解因式:x的3次方减2x加1

(x-1)(x平方+x-1)

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

x的3次方减2x加1
=x³-x-(x-1)
=x(x²-1)-(x-1)
=x(x+1)(x-1)-(x-1)
=(x²+x)(x-1)-(x-1)
=(x-1)(x²+x-1)

(X2+X-1)(X-1)