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\left(2x^{2}+4x+x+2\right)\left(x+3\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of x+2.
\left(2x^{2}+5x+2\right)\left(x+3\right)
Combine 4x and x to get 5x.
2x^{3}+6x^{2}+5x^{2}+15x+2x+6
Apply the distributive property by multiplying each term of 2x^{2}+5x+2 by each term of x+3.
2x^{3}+11x^{2}+15x+2x+6
Combine 6x^{2} and 5x^{2} to get 11x^{2}.
2x^{3}+11x^{2}+17x+6
Combine 15x and 2x to get 17x.
\left(2x^{2}+4x+x+2\right)\left(x+3\right)
Apply the distributive property by multiplying each term of 2x+1 by each term of x+2.
\left(2x^{2}+5x+2\right)\left(x+3\right)
Combine 4x and x to get 5x.
2x^{3}+6x^{2}+5x^{2}+15x+2x+6
Apply the distributive property by multiplying each term of 2x^{2}+5x+2 by each term of x+3.
2x^{3}+11x^{2}+15x+2x+6
Combine 6x^{2} and 5x^{2} to get 11x^{2}.
2x^{3}+11x^{2}+17x+6
Combine 15x and 2x to get 17x.