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\left(x^{2}+2x+x+2\right)\left(2x+2\right)
Apply the distributive property by multiplying each term of x+1 by each term of x+2.
\left(x^{2}+3x+2\right)\left(2x+2\right)
Combine 2x and x to get 3x.
2x^{3}+2x^{2}+6x^{2}+6x+4x+4
Apply the distributive property by multiplying each term of x^{2}+3x+2 by each term of 2x+2.
2x^{3}+8x^{2}+6x+4x+4
Combine 2x^{2} and 6x^{2} to get 8x^{2}.
2x^{3}+8x^{2}+10x+4
Combine 6x and 4x to get 10x.
\left(x^{2}+2x+x+2\right)\left(2x+2\right)
Apply the distributive property by multiplying each term of x+1 by each term of x+2.
\left(x^{2}+3x+2\right)\left(2x+2\right)
Combine 2x and x to get 3x.
2x^{3}+2x^{2}+6x^{2}+6x+4x+4
Apply the distributive property by multiplying each term of x^{2}+3x+2 by each term of 2x+2.
2x^{3}+8x^{2}+6x+4x+4
Combine 2x^{2} and 6x^{2} to get 8x^{2}.
2x^{3}+8x^{2}+10x+4
Combine 6x and 4x to get 10x.