(X的平方-4X+7)*(X的平方-4X-2)+20

问题描述:

(X的平方-4X+7)*(X的平方-4X-2)+20

令X的平方-4X为t

原式=(t+7)(t-2)+20
=t^2+5t+6
=(t+2)(t+3)
=(x^2-4x+2)(x^2-4x+3)
=(x^2-4x+2)(x-1)(x-3)