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3x^{2}+2xy-y^{2}-xy-y^{2}
Use the distributive property to multiply 3x-y by x+y and combine like terms.
3x^{2}+xy-y^{2}-y^{2}
Combine 2xy and -xy to get xy.
3x^{2}+xy-2y^{2}
Combine -y^{2} and -y^{2} to get -2y^{2}.
3x^{2}+2xy-y^{2}-xy-y^{2}
Use the distributive property to multiply 3x-y by x+y and combine like terms.
3x^{2}+xy-y^{2}-y^{2}
Combine 2xy and -xy to get xy.
3x^{2}+xy-2y^{2}
Combine -y^{2} and -y^{2} to get -2y^{2}.