{(x²+y²)-(x-y)+2y(x-y)}/4y

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{(x²+y²)-(x-y)+2y(x-y)}/4y

{(x²+y²)-(x-y)+2y(x-y)}/4y
{(x²+y²)-(x-y)+2y(x-y)}/4y

{(x²+y²)-(x-y)+2y(x-y)}/4y
{(x²+y²)-(x-y)²+2y(x-y)}/4y
=(x²+y²-x²+2xy-y²+2xy-2y²)/4y
=(4xy-2y²)/4y
=x-y/2