Question

(x^2+2x)^2- 11(x^2+2x)+24 =(x^2+2x)^2- 10(x^2+2x)+25-(x^2+2x

Answer 1

可以的

(x^2+2x)^2- 10(x^2+2x)+25-(x^2+2x)-1

=(x^2+2x-5)^2- (x^2+2x)-1

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

=(x^2+2x-5+2)(x^2+2x-5-3)

=（x^2+2x-3)(x^2+2x-8)

=（x-1)(x+3)(x-2)(x+4)