中科新闻网山东省电视台团委书记:因式分解
来源：百度文库 编辑：中科新闻网 时间：2024/04/29 04:36:42
(1)X^2Y^2-XY+1/4;
(2)16X^2Y^2-16X^2Y+4X^2
(3)(X+Y)^2-10(X+Y)+25
(4)(M+N)^2-(2M+2N)(M-N)+(M-N)^2
(2)16X^2Y^2-16X^2Y+4X^2
(3)(X+Y)^2-10(X+Y)+25
(4)(M+N)^2-(2M+2N)(M-N)+(M-N)^2
(1)X^2Y^2-XY+¼
=(xy)^2
(2)16X^2Y^2-16X^2Y+4X^2
=(4xy-2x)^2
(3)(X+Y)^2-10(X+Y)+25
=(x+y-5)^2
(4)(M+N)^2-(2M+2N)(M-N)+(M-N)^2
=[(M+N)-(M-N)]^2
=(2N)^2
=4N^2
1楼（3）错，没有两个小括号
2，3，4楼（2）错，你的答案去括号后是16x^2*8y^2-8y+2
5，6楼都没搞清楚a^2-b^2与（a-b)^2/(a+b)^2的差别
(1) (xy-1/2)^2
(2) (4xy-2x)^2
(3)((x+y)-5)^2
(4)((M+N)-(M-N))^2
1.(xy-1/2)^2
2.4X^2(2y-1)^2
3.(x+y-5)^2
4.((m+n)-(m-n))^2
(1)= (XY-1/2)(XY-1/2)
(2)= 4x^2(2y-1)^2
(3)= (x+y-5)^2
(4)= [(m+n)-(m-n)]^2=4n^2
1= (xy-1/2)^2
2= 4x^2(2y-1)^2
3= (x+y-5)^2
4= [(m+n)-(m-n)]^2=4n^2
(1):X^2Y^2-XY+¼=(XY)^2-XY+¼=(XY-1/2)(XY-1/2)
(2):16X^2Y^2-16X^2Y+4X^2=4X^2(2Y-1)(2Y-1)
(3):=[(X+Y)-5][(X+Y)-5]=(X+Y-5)(X+Y-5)
(4):=[(M+N)-(M-N)]^2=(2N)^2=4N^2