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2x^{2}-4xy-4\left(-6+xy+x^{2}\right)
Use the distributive property to multiply 2 by x^{2}-2xy.
2x^{2}-4xy+24-4xy-4x^{2}
Use the distributive property to multiply -4 by -6+xy+x^{2}.
2x^{2}-8xy+24-4x^{2}
Combine -4xy and -4xy to get -8xy.
-2x^{2}-8xy+24
Combine 2x^{2} and -4x^{2} to get -2x^{2}.
2x^{2}-4xy-4\left(-6+xy+x^{2}\right)
Use the distributive property to multiply 2 by x^{2}-2xy.
2x^{2}-4xy+24-4xy-4x^{2}
Use the distributive property to multiply -4 by -6+xy+x^{2}.
2x^{2}-8xy+24-4x^{2}
Combine -4xy and -4xy to get -8xy.
-2x^{2}-8xy+24
Combine 2x^{2} and -4x^{2} to get -2x^{2}.