问题
解答题
因式分
(1)x4-y4
(2)x3y-2x2y2+xy3
(3)4x2-4x+1
(4)4(a-b)2+1+4(a-b)
答案
(1)x4-y4=(x2+y2)(x2-y2)=(x2+y2)(x+y)(x-y);
(2)x3y-2x2y2+xy3=xy(x2-2xy+y2)=xy(x-y)2;
(3)4x2-4x+1=(2x-1)2;
(4)4(a-b)2+1+4(a-b)=[2(a-b)+1]2=(2a-2b+1)2.