{(x-y)²+(x+y)(x-y)}÷2x

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{(x-y)²+(x+y)(x-y)}÷2x
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{(x-y)²+(x+y)(x-y)}÷2x
{(x-y)²+(x+y)(x-y)}÷2x

{(x-y)²+(x+y)(x-y)}÷2x
{(x-y)²+(x+y)(x-y)}÷2x
=(x-y)(x-y+x+y)÷2x
=(x-y)(2x)÷2x
=x-y

原式=(x^2+y^2-2xy+x^2-y^2)/2x
=[2x(x-y)]/2x
=x-y