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6x^{3}+6x^{2}+3x\left(x+1\right)
Use the distributive property to multiply 6x^{2} by x+1.
6x^{3}+6x^{2}+3x^{2}+3x
Use the distributive property to multiply 3x by x+1.
6x^{3}+9x^{2}+3x
Combine 6x^{2} and 3x^{2} to get 9x^{2}.
6x^{3}+6x^{2}+3x\left(x+1\right)
Use the distributive property to multiply 6x^{2} by x+1.
6x^{3}+6x^{2}+3x^{2}+3x
Use the distributive property to multiply 3x by x+1.
6x^{3}+9x^{2}+3x
Combine 6x^{2} and 3x^{2} to get 9x^{2}.