提公因式m^2(x-y)+n^2(y-x)

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提公因式m^2(x-y)+n^2(y-x)提公因式m^2(x-y)+n^2(y-x)提公因式m^2(x-y)+n^2(y-x)m^2(x-y)+n^2(y-x)=m^2(x-y)-n^2(x-y)=(

提公因式m^2(x-y)+n^2(y-x)
提公因式m^2(x-y)+n^2(y-x)

提公因式m^2(x-y)+n^2(y-x)
m^2(x-y)+n^2(y-x)
=m^2(x-y)-n^2(x-y)
=(x-y)(m^2-n^2)
=(x-y)(m+n)(m-n)

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