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\left(9x-6y\right)\left(3x+2y\right)
Use the distributive property to multiply 3 by 3x-2y.
27x^{2}+18xy-18yx-12y^{2}
Apply the distributive property by multiplying each term of 9x-6y by each term of 3x+2y.
27x^{2}-12y^{2}
Combine 18xy and -18yx to get 0.
\left(9x-6y\right)\left(3x+2y\right)
Use the distributive property to multiply 3 by 3x-2y.
27x^{2}+18xy-18yx-12y^{2}
Apply the distributive property by multiplying each term of 9x-6y by each term of 3x+2y.
27x^{2}-12y^{2}
Combine 18xy and -18yx to get 0.