x根号x-y根号y除以x+根号xy+y(x根号x-y根号y)除以(x+根号xy+y)

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x根号x-y根号y除以x+根号xy+y(x根号x-y根号y)除以(x+根号xy+y)
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x根号x-y根号y除以x+根号xy+y(x根号x-y根号y)除以(x+根号xy+y)
x根号x-y根号y除以x+根号xy+y
(x根号x-y根号y)除以(x+根号xy+y)

x根号x-y根号y除以x+根号xy+y(x根号x-y根号y)除以(x+根号xy+y)
x根号x-y根号y除以x+根号xy+y
=(√x³-√y³)÷(√x²+√xy+√y²)
=(√x-√y)(√x²+√xy+√y²)÷(√x²+√xy+√y²)
=√x-√y