问题
解答题
(1)x3y-2x2y2+xy3
(2)(x+y)2+2(x+y)+1
(3)x3-9x
(4)(x-2)2-4(x-2)
答案
(1)x3y-2x2y2+xy3=xy(x2-2xy+y2)=xy(x-y)2;
(2)(x+y)2+2(x+y)+1=(x+y+1)2;
(3)x3-9x=(x2-9)=x(x+3)(x-3);
(4)(x-2)2-4(x-2)=(x-2)(x-2-4)=(x-2)(x-6).