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\left(6x+2x^{2}\right)\left(x-2\right)
Use the distributive property to multiply 2x by 3+x.
6x^{2}-12x+2x^{3}-4x^{2}
Apply the distributive property by multiplying each term of 6x+2x^{2} by each term of x-2.
2x^{2}-12x+2x^{3}
Combine 6x^{2} and -4x^{2} to get 2x^{2}.
\left(6x+2x^{2}\right)\left(x-2\right)
Use the distributive property to multiply 2x by 3+x.
6x^{2}-12x+2x^{3}-4x^{2}
Apply the distributive property by multiplying each term of 6x+2x^{2} by each term of x-2.
2x^{2}-12x+2x^{3}
Combine 6x^{2} and -4x^{2} to get 2x^{2}.