已知x=2009,y=2010.化简(x+y)*(x^2+y^2/x^4-y^4)

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已知x=2009,y=2010.化简(x+y)*(x^2+y^2/x^4-y^4)
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已知x=2009,y=2010.化简(x+y)*(x^2+y^2/x^4-y^4)
已知x=2009,y=2010.化简(x+y)*(x^2+y^2/x^4-y^4)

已知x=2009,y=2010.化简(x+y)*(x^2+y^2/x^4-y^4)
(x+y)(x²+y²)/(x^4-y^4)=(x+y)(x²+y²)/(x²+y²)(x²-y²)
=(x+y)/(x²-y²)
=(x+y)/(x+y)(x-y)
=1/(x-y)
=1/(2009-2010)
=-1