已知x=2007,y=2008,求x^2+2xy+y^2/5x^2-4xy除以x+y/5x-4y再+x^2-y/x的值

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已知x=2007,y=2008,求x^2+2xy+y^2/5x^2-4xy除以x+y/5x-4y再+x^2-y/x的值

已知x=2007,y=2008,求x^2+2xy+y^2/5x^2-4xy除以x+y/5x-4y再+x^2-y/x的值
已知x=2007,y=2008,求x^2+2xy+y^2/5x^2-4xy除以x+y/5x-4y再+x^2-y/x的值

已知x=2007,y=2008,求x^2+2xy+y^2/5x^2-4xy除以x+y/5x-4y再+x^2-y/x的值
x^2+2xy+y^2/5x^2-4xy除以x+y/5x-4y再+x^2-y/x
=(x+y)^2/[x(5x-4y)]×(5x-4y)/(x+y)+(x^2-y)/x
=(x+y)/x+(x^2-y)/x
=(x+x^2)/x
=1+x
=1+2007
=2008

化简(x+y)^2/x(5x-4y) * (x+y)/(5x-4y)=(x+y)/x
(x+y)/x+(x^2-y)/x=x+1=2008

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