
已知x-4y=0,求x/x-3y-y/x+3y+3y^2/9y^2-x^2的值
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(x/x-3y)-(y/x+3y)+(3y^2/9y^2-x^2)=(x^2+3xy-xy+3y^2-3y^2)/(x-3y)(x+3y)=(x^2+2xy)/(x-3y)(x+3y)
因为x-4y=0,所以x=4y.
(x^2+2xy)/(x-3y)(x+3y)=(16y^2+8xy^2)/(4y-3y)(4y+3y)=24y^2/7y^2=24/7
因为x-4y=0,所以x=4y.
(x^2+2xy)/(x-3y)(x+3y)=(16y^2+8xy^2)/(4y-3y)(4y+3y)=24y^2/7y^2=24/7
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