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\left(3x^{2}-6x\right)\left(x+4\right)
Use the distributive property to multiply 3x by x-2.
3x^{3}+12x^{2}-6x^{2}-24x
Apply the distributive property by multiplying each term of 3x^{2}-6x by each term of x+4.
3x^{3}+6x^{2}-24x
Combine 12x^{2} and -6x^{2} to get 6x^{2}.
\left(3x^{2}-6x\right)\left(x+4\right)
Use the distributive property to multiply 3x by x-2.
3x^{3}+12x^{2}-6x^{2}-24x
Apply the distributive property by multiplying each term of 3x^{2}-6x by each term of x+4.
3x^{3}+6x^{2}-24x
Combine 12x^{2} and -6x^{2} to get 6x^{2}.