x^2+2xy+y^2分之4y^2-x^2除以2x^2+2xy分之x-2y

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x^2+2xy+y^2分之4y^2-x^2除以2x^2+2xy分之x-2y
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x^2+2xy+y^2分之4y^2-x^2除以2x^2+2xy分之x-2y
x^2+2xy+y^2分之4y^2-x^2除以2x^2+2xy分之x-2y

x^2+2xy+y^2分之4y^2-x^2除以2x^2+2xy分之x-2y
(4y^2-x^2)/(x^2+2xy+y^2)÷(x-2y)/( 2x^2+2xy)
=-(x+2y)(x-2y)/(x+y)^2 *【2x( x+y)】/(x-2y)
=-2x(x+2y)/(x+y)

=(2y+x)(2y-x)/(x+y)^2÷(x-2y)/2x(x+y)
=一(2y+x)*2x/(x+y)