Question

(x∧2-x)(x∧2-x-14)+24因式分解

Answer 1

设A=x^2-x,则

(x^2-x)(x^2-x-14)+24

=A(A-14)+24

=A^2-14A+24

=(A-12)(A-2)

=(x^2-x-12)(x^2-x-2)

=(x-4)(x+3)(x-2)(x+1)