已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y)
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已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y)
因为(x-y)/(x+y)=3,则(x+y)/(x-y)=1/3
则5(x-y)(x+y)-(x+y)/2(x-y)
=5*3 -1/(3*2)
=15-1/6
=89/6
则5(x-y)(x+y)-(x+y)/2(x-y)
=5*3 -1/(3*2)
=15-1/6
=89/6
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