已知x=2013,y=2014,求(x+y)(x^2+y^2)/x^4-y^4

问题描述:

已知x=2013,y=2014,求(x+y)(x^2+y^2)/x^4-y^4

由(x+y)(x^2+y^2)/x^4-y^4
=(x+y)(x^2+y^2)/(x^2+y^2)*(x^2-y^2)
=(x+y)/(x^2-y^2)
=(x+y)/(x-y)(x+y)
=1/(x-y)
=1/(2013-2014)
=-1