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\left(3x^{2}+2x+9x+6\right)\left(2x+1\right)
Apply the distributive property by multiplying each term of x+3 by each term of 3x+2.
\left(3x^{2}+11x+6\right)\left(2x+1\right)
Combine 2x and 9x to get 11x.
6x^{3}+3x^{2}+22x^{2}+11x+12x+6
Apply the distributive property by multiplying each term of 3x^{2}+11x+6 by each term of 2x+1.
6x^{3}+25x^{2}+11x+12x+6
Combine 3x^{2} and 22x^{2} to get 25x^{2}.
6x^{3}+25x^{2}+23x+6
Combine 11x and 12x to get 23x.
\left(3x^{2}+2x+9x+6\right)\left(2x+1\right)
Apply the distributive property by multiplying each term of x+3 by each term of 3x+2.
\left(3x^{2}+11x+6\right)\left(2x+1\right)
Combine 2x and 9x to get 11x.
6x^{3}+3x^{2}+22x^{2}+11x+12x+6
Apply the distributive property by multiplying each term of 3x^{2}+11x+6 by each term of 2x+1.
6x^{3}+25x^{2}+11x+12x+6
Combine 3x^{2} and 22x^{2} to get 25x^{2}.
6x^{3}+25x^{2}+23x+6
Combine 11x and 12x to get 23x.