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3x^{2}-6xy-4\left(-6+xy+x^{2}\right)
Use the distributive property to multiply 3 by x^{2}-2xy.
3x^{2}-6xy+24-4xy-4x^{2}
Use the distributive property to multiply -4 by -6+xy+x^{2}.
3x^{2}-10xy+24-4x^{2}
Combine -6xy and -4xy to get -10xy.
-x^{2}-10xy+24
Combine 3x^{2} and -4x^{2} to get -x^{2}.
3x^{2}-6xy-4\left(-6+xy+x^{2}\right)
Use the distributive property to multiply 3 by x^{2}-2xy.
3x^{2}-6xy+24-4xy-4x^{2}
Use the distributive property to multiply -4 by -6+xy+x^{2}.
3x^{2}-10xy+24-4x^{2}
Combine -6xy and -4xy to get -10xy.
-x^{2}-10xy+24
Combine 3x^{2} and -4x^{2} to get -x^{2}.