因式分解:(2x²-3x+1)²-22x²+33x-1

问题描述:

因式分解:(2x²-3x+1)&sup2-22x&sup2+33x-1

(2x²-3x+1)²-22x²+33x-1
=(2x²-3x+1)²-11(2x²-3x+1)+10
=(2x²-3x+1-1)(2x²-3x+1-10)
=(2x²-3x)(2x²-3x-9)
=x(2x-3)(2x²-3x-9)