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\left(6x^{2}+4x+3x+2\right)\left(x+3\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of 3x+2.
\left(6x^{2}+7x+2\right)\left(x+3\right)
Combine 4x and 3x to get 7x.
6x^{3}+18x^{2}+7x^{2}+21x+2x+6
Apply the distributive property by multiplying each term of 6x^{2}+7x+2 by each term of x+3.
6x^{3}+25x^{2}+21x+2x+6
Combine 18x^{2} and 7x^{2} to get 25x^{2}.
6x^{3}+25x^{2}+23x+6
Combine 21x and 2x to get 23x.
\left(6x^{2}+4x+3x+2\right)\left(x+3\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of 3x+2.
\left(6x^{2}+7x+2\right)\left(x+3\right)
Combine 4x and 3x to get 7x.
6x^{3}+18x^{2}+7x^{2}+21x+2x+6
Apply the distributive property by multiplying each term of 6x^{2}+7x+2 by each term of x+3.
6x^{3}+25x^{2}+21x+2x+6
Combine 18x^{2} and 7x^{2} to get 25x^{2}.
6x^{3}+25x^{2}+23x+6
Combine 21x and 2x to get 23x.