Question

用适当的方法分解因式：(1)a^2b^3-4a^2b;(2)a^2-b^2+a+b;(3)x^3+x^2y-xy^2-y

Answer 1

(1)=a^2b(b^2-4)=a^2b(a+2)(a-2)
(2)=(a+b)(a-b)+(a+b)=(a+b)(a-b+1)
(3)=x^2(x+y)-y^2(x+y)=(x^2-y^2)(x+y)=(x+y)^2(x-y)