因式分解6a^2b-9ab^3+3ab;a^3-6a^2-7a;(x^2+x)^2-(x+1)^2

问题描述:

因式分解6a^2b-9ab^3+3ab;a^3-6a^2-7a;(x^2+x)^2-(x+1)^2

6a^2b-9ab^3+3ab=3ab(2a-3b^2+1)a^3-6a^2-7a=a(a^2-6a-7)=a(a+1)(a-7)(x^2+x)^2-(x+1)^2=(x^2+x+x+1)(x^2+x-x-1)=(x^2+2x+1)(x^2-1)=(x+1)^2(x+1)(x-1)=(x+1)^3(x-1)