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3x^{2}-18xy-\left(x^{2}-6xy\right)-4y
Use the distributive property to multiply 3 by x^{2}-6xy.
3x^{2}-18xy-x^{2}+6xy-4y
To find the opposite of x^{2}-6xy, find the opposite of each term.
2x^{2}-18xy+6xy-4y
Combine 3x^{2} and -x^{2} to get 2x^{2}.
2x^{2}-12xy-4y
Combine -18xy and 6xy to get -12xy.
3x^{2}-18xy-\left(x^{2}-6xy\right)-4y
Use the distributive property to multiply 3 by x^{2}-6xy.
3x^{2}-18xy-x^{2}+6xy-4y
To find the opposite of x^{2}-6xy, find the opposite of each term.
2x^{2}-18xy+6xy-4y
Combine 3x^{2} and -x^{2} to get 2x^{2}.
2x^{2}-12xy-4y
Combine -18xy and 6xy to get -12xy.