what must be added to x^2+xy+y^3 to form x^3+y^3
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x^3 + y^3 - (x^2 + xy + y^3)
= x^3 + y^3 - x^2 - xy - y^3
= x^3 - x^2 - xy
= x^3 + y^3 - x^2 - xy - y^3
= x^3 - x^2 - xy
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