(2x^2-3x+1)^2-22x^2+33x-1
=(2x^2-3x+1)^2-11(2x^2-3x+1)+10 把2x^2-3x+1看成一个数,十字法分解因式
=(2x^2-3x+1-10)(2x^2-3x+1-1)
=(2x^2-3x-9)(2x^2-3x)
=(2x+3)(x-3)(2x^2-3x)
=x(2x+3)(x-3)(2x-3)
原式=(2x²-3x+1)²-22x+33-11+10
=(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)(x-3)(2x+3)