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14xy
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14xy
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2x^{2}-6xy+3yx-9y^{2}-\left(2x+y\right)\left(x-9y\right)
Apply the distributive property by multiplying each term of 2x+3y by each term of x-3y.
2x^{2}-3xy-9y^{2}-\left(2x+y\right)\left(x-9y\right)
Combine -6xy and 3yx to get -3xy.
2x^{2}-3xy-9y^{2}-\left(2x^{2}-18xy+yx-9y^{2}\right)
Apply the distributive property by multiplying each term of 2x+y by each term of x-9y.
2x^{2}-3xy-9y^{2}-\left(2x^{2}-17xy-9y^{2}\right)
Combine -18xy and yx to get -17xy.
2x^{2}-3xy-9y^{2}-2x^{2}-\left(-17xy\right)-\left(-9y^{2}\right)
To find the opposite of 2x^{2}-17xy-9y^{2}, find the opposite of each term.
2x^{2}-3xy-9y^{2}-2x^{2}+17xy-\left(-9y^{2}\right)
The opposite of -17xy is 17xy.
2x^{2}-3xy-9y^{2}-2x^{2}+17xy+9y^{2}
The opposite of -9y^{2} is 9y^{2}.
-3xy-9y^{2}+17xy+9y^{2}
Combine 2x^{2} and -2x^{2} to get 0.
14xy-9y^{2}+9y^{2}
Combine -3xy and 17xy to get 14xy.
14xy
Combine -9y^{2} and 9y^{2} to get 0.
2x^{2}-6xy+3yx-9y^{2}-\left(2x+y\right)\left(x-9y\right)
Apply the distributive property by multiplying each term of 2x+3y by each term of x-3y.
2x^{2}-3xy-9y^{2}-\left(2x+y\right)\left(x-9y\right)
Combine -6xy and 3yx to get -3xy.
2x^{2}-3xy-9y^{2}-\left(2x^{2}-18xy+yx-9y^{2}\right)
Apply the distributive property by multiplying each term of 2x+y by each term of x-9y.
2x^{2}-3xy-9y^{2}-\left(2x^{2}-17xy-9y^{2}\right)
Combine -18xy and yx to get -17xy.
2x^{2}-3xy-9y^{2}-2x^{2}-\left(-17xy\right)-\left(-9y^{2}\right)
To find the opposite of 2x^{2}-17xy-9y^{2}, find the opposite of each term.
2x^{2}-3xy-9y^{2}-2x^{2}+17xy-\left(-9y^{2}\right)
The opposite of -17xy is 17xy.
2x^{2}-3xy-9y^{2}-2x^{2}+17xy+9y^{2}
The opposite of -9y^{2} is 9y^{2}.
-3xy-9y^{2}+17xy+9y^{2}
Combine 2x^{2} and -2x^{2} to get 0.
14xy-9y^{2}+9y^{2}
Combine -3xy and 17xy to get 14xy.
14xy
Combine -9y^{2} and 9y^{2} to get 0.
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