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\left(3x+6\right)x\left(2x+9\right)
Use the distributive property to multiply x+2 by 3.
\left(3x^{2}+6x\right)\left(2x+9\right)
Use the distributive property to multiply 3x+6 by x.
6x^{3}+27x^{2}+12x^{2}+54x
Apply the distributive property by multiplying each term of 3x^{2}+6x by each term of 2x+9.
6x^{3}+39x^{2}+54x
Combine 27x^{2} and 12x^{2} to get 39x^{2}.
\left(3x+6\right)x\left(2x+9\right)
Use the distributive property to multiply x+2 by 3.
\left(3x^{2}+6x\right)\left(2x+9\right)
Use the distributive property to multiply 3x+6 by x.
6x^{3}+27x^{2}+12x^{2}+54x
Apply the distributive property by multiplying each term of 3x^{2}+6x by each term of 2x+9.
6x^{3}+39x^{2}+54x
Combine 27x^{2} and 12x^{2} to get 39x^{2}.