因式分解x²+y²-x²y²-4xy-1

因式分解x²+y²-x²y²-4xy-1
因式分解x²+y²-x²y²-4xy-1

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

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



很...

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



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