把下列各式因式分解
(2m+3n)(2m-n)-4n(2m-n)(x+y)^2(x-y)+(x+y)(y-x)^24a(x+y)^2-2(y+x)^2...
(2m+3n)(2m-n)-4n(2m-n)
(x+y)^2(x-y)+(x+y)(y-x)^2
4a(x+y)^2-2(y+x)^2 展开
(x+y)^2(x-y)+(x+y)(y-x)^2
4a(x+y)^2-2(y+x)^2 展开
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(2m+3n)(2m-n)-4n(2m-n)
=(2m-n)(2m+3n-4n)
=(2m-n)(2m-n)
=(2m-n)^2
(x+y)^2(x-y)+(x+y)(y-x)^2
=(x+y)(x-y)(x+y+x-y)
=2x(x+y)(x-y)
4a(x+y)^2-2(y+x)^2
=(x+y)^2(4a-2)
=2(x+y)^2(2a-1)
=(2m-n)(2m+3n-4n)
=(2m-n)(2m-n)
=(2m-n)^2
(x+y)^2(x-y)+(x+y)(y-x)^2
=(x+y)(x-y)(x+y+x-y)
=2x(x+y)(x-y)
4a(x+y)^2-2(y+x)^2
=(x+y)^2(4a-2)
=2(x+y)^2(2a-1)
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(2m+3n)(2m-n)-4n(2m-n)=(2m-n)(2m+3n-4n)=(2m-n)^2
(x+y)^2(x-y)+(x+y)(y-x)^2=(x+y)(x-y)(x+y+x-y)=2x(x+y)(x-y)
4a(x+y)^2-2(y+x)^2 =2(2a-1)(x+y)^2
(x+y)^2(x-y)+(x+y)(y-x)^2=(x+y)(x-y)(x+y+x-y)=2x(x+y)(x-y)
4a(x+y)^2-2(y+x)^2 =2(2a-1)(x+y)^2
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