因式分解:(1-x²)(1-y²)+4xy

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因式分解:(1-x²)(1-y²)+4xy

=1-x²-y²+x²y²+4xy
=1+2xy+x²y²-(x²-2xy+y²)
=(1+xy)²-(x-y)²
=(1+xy+x-y)(1+xy-x+y)