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已知x=2008y=2009则x4-y4分之(x+y)(X2+y2)的值为
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已知x=2008 y=2009则x4-y4分之(x+y)(X2+y2)的值为
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答案和解析
原式=(x+y)(x²+y²/(x²+y²)(x²-y²)
=(x+y)/((x²-y²)
=(x+y)/(x+y)(x-y)
=1/(x-y)
=1/(2008-2009)
=-1
=(x+y)/((x²-y²)
=(x+y)/(x+y)(x-y)
=1/(x-y)
=1/(2008-2009)
=-1
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