因式分(1)x4-y4(2)x3y-2x2y2+xy3(3)4x2-4x+1(4)4(a-b)2+1+4(a-b)-数学

题目简介

因式分(1)x4-y4(2)x3y-2x2y2+xy3(3)4x2-4x+1(4)4(a-b)2+1+4(a-b)-数学

题目详情

因式分
(1)x4-y4
(2)x3y-2x2y2+xy3
(3)4x2-4x+1 
(4)4(a-b)2+1+4(a-b)
题型:解答题难度:中档来源:不详

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.

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