[(x+2y^2)^2-(x+y^2)(x-y^2)-5y^4]/(2y)^2

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[(x+2y^2)^2-(x+y^2)(x-y^2)-5y^4]/(2y)^2
[(x+2y^2)^2-(x+y^2)(x-y^2)-5y^4]/(2y)^2

[(x+2y^2)^2-(x+y^2)(x-y^2)-5y^4]/(2y)^2
[(x+2y^2)^2-(x+y^2)(x-y^2)-5y^4]/2y^2
=[x^2+4xy^2+4y^4-(x^2-y^4)-5y^4]/2y^2
=[x^2+4xy^2+4y^4-x^2+y^4-5y^4]/2y^2
=[x^2-x^2+4xy^2+4y^4+y^4-5y^4]/2y^2
=4xy^2/2y^2
=2x
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=(x²+4xy²+4y的4次方-x²+y的4次方-5y的4次方)/(4y²）
=4xy²/4y²
=x

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