若xy/(x+y)=3,则(6x+4xy+6y)/(9x+4xy+9y)=______
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若xy/(x+y)=3,则(6x+4xy+6y)/(9x+4xy+9y)=______
若xy/(x+y)=3,则(6x+4xy+6y)/(9x+4xy+9y)=______
若xy/(x+y)=3,则(6x+4xy+6y)/(9x+4xy+9y)=______
XY/(X+Y)=3,XY=3(X+Y)
原式=[6(X+Y)+4XY]/[9(X+Y)+4XY]
=[6(X+Y)+12(X+Y)]/[9(X+Y)+12(X+Y)]
=[18(X+Y)]/[21(X+Y)]
=18/21
=6/7
xy/(x+y)=3可得xy=3(x+y)
则原式(6x+4xy+6y)/(9x+4xy+9y)=6xy/7xy=6/7
6/7
显然xy=3(x+y)
替换所有的xy
=(6x+4*3(x+y)+6y)/(9x+4*3(x+y)+9y)
=[18(x+y)]/[21(x+y)]
=18/21
=6/7
xy/(x+y)=3 则xy=3(x+y) 代入得
(6x+4xy+6y)/(9x+4xy+9y)
=[18(x+y)]/[21(x+y)]
=18/21
=6/7
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