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\left(9x^{2}+18x\right)\left(x+3\right)
Use the distributive property to multiply 3x by 3x+6.
9x^{3}+27x^{2}+18x^{2}+54x
Apply the distributive property by multiplying each term of 9x^{2}+18x by each term of x+3.
9x^{3}+45x^{2}+54x
Combine 27x^{2} and 18x^{2} to get 45x^{2}.
\left(9x^{2}+18x\right)\left(x+3\right)
Use the distributive property to multiply 3x by 3x+6.
9x^{3}+27x^{2}+18x^{2}+54x
Apply the distributive property by multiplying each term of 9x^{2}+18x by each term of x+3.
9x^{3}+45x^{2}+54x
Combine 27x^{2} and 18x^{2} to get 45x^{2}.