因式分解1.(a^2b^2+1)-4a^2b^2)2 4m^2(x-y)+n^2(y-x) 3 (x-1)^2-1+x打错了 第一题是(a^2b^2+1)^2-4a^2b^2

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因式分解1.(a^2b^2+1)-4a^2b^2)2 4m^2(x-y)+n^2(y-x) 3 (x-1)^2-1+x打错了 第一题是(a^2b^2+1)^2-4a^2b^2
因式分解
1.(a^2b^2+1)-4a^2b^2)
2 4m^2(x-y)+n^2(y-x)
3 (x-1)^2-1+x
打错了 第一题是(a^2b^2+1)^2-4a^2b^2

因式分解1.(a^2b^2+1)-4a^2b^2)2 4m^2(x-y)+n^2(y-x) 3 (x-1)^2-1+x打错了 第一题是(a^2b^2+1)^2-4a^2b^2
1、题目有问题?
2、
4m^2(x-y)+n^2(y-x)
=4m^2(x-y)-n^2(x-y)
=(4m^2-n^2)(x-y)
=(2m+n)(2m-n)(x-y)
3、
(x-1)^2-1+x
=(x-1)^2+(x-1)
=(x-1)(x-1+1)
=x(x-1)

1.[(a^2b^2+1)-4a^2b^2]=1-3a^2b^2.
=[1-(√3ab)^2].
=(1+√3ab)*(1-√3 ab).

2.4m^2(x-y)+n^2(y-x)=4m^2(x-y)-n^2(x-y).
=(x-y)*(4m^2-n^2).
=(x-y)(2m+n)(2m-n).
3.(x-1)^2-1+x=(x-1)^2-(1-x).
=(1-x)^2-(1-x).
=(1-x)(1-x-1).
=-x(1-x).
=x(x-1).