(m^2-m)x^2-(2m^2-1)x+m(m+1)(2x-3a)(2x-a)(x+5a)(x+15a)-23a^2x^2

Question

(m^2-m)x^2-(2m^2-1)x+m(m+1)
(2x-3a)(2x-a)(x+5a)(x+15a)-23a^2x^2

Answer 1

(m^2-m)x^2-(2m^2-1)x+m(m+1)
= m(m-1)x^2 -(2m^2-1)x +m(m+1)
= (mx-(m+1))((m-1)x-m)
=(mx-m-1)(mx-x-m)
(2x-3a)(2x-a)(x+5a)(x+15a)-23a^2x^2
=[(2x-3a)(x+5a)][(2x-a)(x+15a)]-23a^2x^2
=[(2x^2-15a^2)+7ax][(2x^2-15a^2)+29ax]-23a^2x^2
=(2x^-15a^)^2+36(2x^2-15a^2)ax+180a^2x^2
=(2x^2-15a^2+30ax)(2x^2-15a^2+6ax)