已知x+y/xy=4 求代数式5xy/4x+4y 减2x+2y/6xy的值

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已知x+y/xy=4 求代数式5xy/4x+4y 减2x+2y/6xy的值

已知x+y/xy=4 求代数式5xy/4x+4y 减2x+2y/6xy的值
已知x+y/xy=4 求代数式5xy/4x+4y 减2x+2y/6xy的值

已知x+y/xy=4 求代数式5xy/4x+4y 减2x+2y/6xy的值
已知x+y/xy=4
xy/(x+y)=1/4
代数式5xy/4x+4y 减2x+2y/6xy的值
=5/4(xy/x+y) -1/3(x+y/xy)
=5/4*1/4 -1/3*4
=5/16 -4/3
=-49/48

首先确认一下是否x+y整项在分子或分母中

5xy/4x+4y 减2x+2y/6xy
=(5/4)*(xy/x+y) - (x+y/3xy)
=(5/4)*(1/4) - (4/3)
= -49/48

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