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=(x²-y²)/xy × x/(x-y)=(x+y)/y
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x÷(x-y)-x÷(x+y)
=x(x+y)/(x-y)(x+y)-x(x-y)/(x+y)(x-y)
=(x²+xy)/(x+y)(x-y)-(x²-xy)/(x+y)(x-y)
=(x²+xy-x²+xy)/(x+y)(x-y)
=2xy/(x²-y²)
=x(x+y)/(x-y)(x+y)-x(x-y)/(x+y)(x-y)
=(x²+xy)/(x+y)(x-y)-(x²-xy)/(x+y)(x-y)
=(x²+xy-x²+xy)/(x+y)(x-y)
=2xy/(x²-y²)
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