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\left(x^{2}+2x+6x+12\right)\left(x+3\right)
Apply the distributive property by multiplying each term of x+6 by each term of x+2.
\left(x^{2}+8x+12\right)\left(x+3\right)
Combine 2x and 6x to get 8x.
x^{3}+3x^{2}+8x^{2}+24x+12x+36
Apply the distributive property by multiplying each term of x^{2}+8x+12 by each term of x+3.
x^{3}+11x^{2}+24x+12x+36
Combine 3x^{2} and 8x^{2} to get 11x^{2}.
x^{3}+11x^{2}+36x+36
Combine 24x and 12x to get 36x.
\left(x^{2}+2x+6x+12\right)\left(x+3\right)
Apply the distributive property by multiplying each term of x+6 by each term of x+2.
\left(x^{2}+8x+12\right)\left(x+3\right)
Combine 2x and 6x to get 8x.
x^{3}+3x^{2}+8x^{2}+24x+12x+36
Apply the distributive property by multiplying each term of x^{2}+8x+12 by each term of x+3.
x^{3}+11x^{2}+24x+12x+36
Combine 3x^{2} and 8x^{2} to get 11x^{2}.
x^{3}+11x^{2}+36x+36
Combine 24x and 12x to get 36x.