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\left(x^{2}+3x+2x+6\right)\left(3x+1\right)
Apply the distributive property by multiplying each term of x+2 by each term of x+3.
\left(x^{2}+5x+6\right)\left(3x+1\right)
Combine 3x and 2x to get 5x.
3x^{3}+x^{2}+15x^{2}+5x+18x+6
Apply the distributive property by multiplying each term of x^{2}+5x+6 by each term of 3x+1.
3x^{3}+16x^{2}+5x+18x+6
Combine x^{2} and 15x^{2} to get 16x^{2}.
3x^{3}+16x^{2}+23x+6
Combine 5x and 18x to get 23x.
\left(x^{2}+3x+2x+6\right)\left(3x+1\right)
Apply the distributive property by multiplying each term of x+2 by each term of x+3.
\left(x^{2}+5x+6\right)\left(3x+1\right)
Combine 3x and 2x to get 5x.
3x^{3}+x^{2}+15x^{2}+5x+18x+6
Apply the distributive property by multiplying each term of x^{2}+5x+6 by each term of 3x+1.
3x^{3}+16x^{2}+5x+18x+6
Combine x^{2} and 15x^{2} to get 16x^{2}.
3x^{3}+16x^{2}+23x+6
Combine 5x and 18x to get 23x.