(1)(x+y)2-3(x+y)=(x+y)(x+y-3);(2)3x(x-y)+2x(y-x)-y(x-y)=(x-y)(3x-2x-y)=(x-y)2;(3)m2n(m-n)2-2mn(n-m)3=mn(n-m)2(m-2n+2m).故答案为:(x+y)(x+y-3)、(x-y)2、mn(n-m)2(m-2n+2m).