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6x^{2}-15xy-2x\left(6y-x\right)+8xy
Use the distributive property to multiply 3x by 2x-5y.
6x^{2}-15xy-12xy+2x^{2}+8xy
Use the distributive property to multiply -2x by 6y-x.
6x^{2}-27xy+2x^{2}+8xy
Combine -15xy and -12xy to get -27xy.
8x^{2}-27xy+8xy
Combine 6x^{2} and 2x^{2} to get 8x^{2}.
8x^{2}-19xy
Combine -27xy and 8xy to get -19xy.
6x^{2}-15xy-2x\left(6y-x\right)+8xy
Use the distributive property to multiply 3x by 2x-5y.
6x^{2}-15xy-12xy+2x^{2}+8xy
Use the distributive property to multiply -2x by 6y-x.
6x^{2}-27xy+2x^{2}+8xy
Combine -15xy and -12xy to get -27xy.
8x^{2}-27xy+8xy
Combine 6x^{2} and 2x^{2} to get 8x^{2}.
8x^{2}-19xy
Combine -27xy and 8xy to get -19xy.