Question

因式分解：（x^2-5x)(x^2-5x-2)-24

Answer 1

(x^2-5x)(x^2-5x-2)-24

=(x^2-5x)^2-2(x^2-5x)-24

=(x^2-5x-6)(x^2-5x+4)

=(x-6)(x+1)(x-4)(x-1).