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\left(6x^{2}+11x+15\right)\left(x^{3}+x^{2}+9x+9\right)
Combine x^{2} and 5x^{2} to get 6x^{2}.
6x^{5}+17x^{4}+80x^{3}+168x^{2}+234x+135
Use the distributive property to multiply 6x^{2}+11x+15 by x^{3}+x^{2}+9x+9 and combine like terms.
\left(6x^{2}+11x+15\right)\left(x^{3}+x^{2}+9x+9\right)
Combine x^{2} and 5x^{2} to get 6x^{2}.
6x^{5}+17x^{4}+80x^{3}+168x^{2}+234x+135
Use the distributive property to multiply 6x^{2}+11x+15 by x^{3}+x^{2}+9x+9 and combine like terms.