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\left(3x^{3}+4x^{2}+2x\right)x
Divide each term of 27x^{3}+36x^{2}+18x by 9 to get 3x^{3}+4x^{2}+2x.
3x^{4}+4x^{3}+2x^{2}
Use the distributive property to multiply 3x^{3}+4x^{2}+2x by x.
\left(3x^{3}+4x^{2}+2x\right)x
Divide each term of 27x^{3}+36x^{2}+18x by 9 to get 3x^{3}+4x^{2}+2x.
3x^{4}+4x^{3}+2x^{2}
Use the distributive property to multiply 3x^{3}+4x^{2}+2x by x.