(2/3x-2/x+y(x+y/3x-x-y))÷x-y/x,其中5x+3y=0

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(2/3x-2/x+y(x+y/3x-x-y))÷x-y/x,其中5x+3y=0

(2/3x-2/x+y(x+y/3x-x-y))÷x-y/x,其中5x+3y=0
(2/3x-2/x+y(x+y/3x-x-y))÷x-y/x,其中5x+3y=0

(2/3x-2/x+y(x+y/3x-x-y))÷x-y/x,其中5x+3y=0
(2/3x-2/x+y(x+y/3x-x-y))÷x-y/x
=(2/3x-2/x+y(y/3x-y))÷x-y/x
=(2/3x-2/x+y²/3x-y²)÷x-y/x
=2/3-2/x²+y²/3x²-y²/x-y/x
=2/3+y²/3x²-2/x²-y²/x-y/x
=2/3+(y²-6)/3x²-y(y-1)/x
5x+3y=0时5x=-3y即x=-3y/5代入
=2/3+(y²-6)/3(-3y/5)²-y(y-1)/(-3y/5)
=2/3+(y²-6)/3(9y²/25)+y(y-1)/(3y/5)
=2/3+25(y²-6)/27y²+5(y-1)/3