(x^2-5x-1)(x^2-5x+5)+5因式分解

问题描述:

(x^2-5x-1)(x^2-5x+5)+5因式分解

令x²-5x=t,则
原式=(t-1)(t+5)+5
  =t²+4t-5+5
  =t(t+4)
  =(x²-5x)(x²-5x+4)
  =x(x-5)(x-4)(x-1)