Evaluate
x\left(3x^{2}+x+2\right)
Expand
3x^{3}+x^{2}+2x
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6x^{3}-8x^{2}+2x-3x^{2}\left(x-3\right)
Use the distributive property to multiply 2x by 3x^{2}-4x+1.
6x^{3}-8x^{2}+2x-3x^{3}+9x^{2}
Use the distributive property to multiply -3x^{2} by x-3.
3x^{3}-8x^{2}+2x+9x^{2}
Combine 6x^{3} and -3x^{3} to get 3x^{3}.
3x^{3}+x^{2}+2x
Combine -8x^{2} and 9x^{2} to get x^{2}.
6x^{3}-8x^{2}+2x-3x^{2}\left(x-3\right)
Use the distributive property to multiply 2x by 3x^{2}-4x+1.
6x^{3}-8x^{2}+2x-3x^{3}+9x^{2}
Use the distributive property to multiply -3x^{2} by x-3.
3x^{3}-8x^{2}+2x+9x^{2}
Combine 6x^{3} and -3x^{3} to get 3x^{3}.
3x^{3}+x^{2}+2x
Combine -8x^{2} and 9x^{2} to get x^{2}.
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