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

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

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

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