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\frac{x^{3}}{3}+\frac{3\left(-4x-1\right)}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply -4x-1 times \frac{3}{3}.
\frac{x^{3}+3\left(-4x-1\right)}{3}
Since \frac{x^{3}}{3} and \frac{3\left(-4x-1\right)}{3} have the same denominator, add them by adding their numerators.
\frac{x^{3}-12x-3}{3}
Do the multiplications in x^{3}+3\left(-4x-1\right).
\frac{x^{3}-12x-3}{3}
Factor out \frac{1}{3}. Polynomial x^{3}-12x-3 is not factored since it does not have any rational roots.