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9x^{2}-3xy-6y^{2}+3xy-9\left(x^{2}-y^{2}\right)
Use the distributive property to multiply 3x+2y by 3x-3y and combine like terms.
9x^{2}-6y^{2}-9\left(x^{2}-y^{2}\right)
Combine -3xy and 3xy to get 0.
9x^{2}-6y^{2}-9x^{2}+9y^{2}
Use the distributive property to multiply -9 by x^{2}-y^{2}.
-6y^{2}+9y^{2}
Combine 9x^{2} and -9x^{2} to get 0.
3y^{2}
Combine -6y^{2} and 9y^{2} to get 3y^{2}.
9x^{2}-3xy-6y^{2}+3xy-9\left(x^{2}-y^{2}\right)
Use the distributive property to multiply 3x+2y by 3x-3y and combine like terms.
9x^{2}-6y^{2}-9\left(x^{2}-y^{2}\right)
Combine -3xy and 3xy to get 0.
9x^{2}-6y^{2}-9x^{2}+9y^{2}
Use the distributive property to multiply -9 by x^{2}-y^{2}.
-6y^{2}+9y^{2}
Combine 9x^{2} and -9x^{2} to get 0.
3y^{2}
Combine -6y^{2} and 9y^{2} to get 3y^{2}.