把下列各式因式分解: (1)x(a+b)+y(a+b); (2)3a(x-y)-(x-y); (3)6(p+q)2-12(q+p); (4)a(m-2)+b(2-m); (5)2(y-x)2+3(x-y).

问题描述:

把下列各式因式分解:
(1)x(a+b)+y(a+b);
(2)3a(x-y)-(x-y);
(3)6(p+q)2-12(q+p);
(4)a(m-2)+b(2-m);
(5)2(y-x)2+3(x-y).

(1)x(a+b)+y(a+b)=(a+b)(x+y);(2)3a(x-y)-(x-y)=(x-y)(3a-1);(3)6(p+q)2-12(q+p)=6(p+q)(p+q-2);(4)a(m-2)+b(2-m)=a(m-2)-b(m-2)=(m-2)(a-b);(5)2(y-x)2+3(x-...