把1-m^2-n^2+2mn因式分解

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把1-m^2-n^2+2mn因式分解

1-m^2-n^2+2mn
=1-(m^2+n^2-2mn)
=1-(m-n)^2
=(1+m-n)(1-m+n)

1-m^2-n^2+2mn
=1-(m^2+n^2-2mn)
=1-(m-n)^2
=(1+m-n)(1-m+n)

1-m^2-n^2+2mn
=1-(m^2+n^2-2mn)
=1-(m-n)^2
=(1-m+n)(1+m-n)

1-m^2-n^2+2mn
=1-(m^2+n^2-2mn)
=1-(m-n)^2
=1^2-(m-n)^2
=(1+m-n)(1-m+n)