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\frac{3x^{4}-4x^{3}}{12}
Factor out \frac{1}{12}.
x^{3}\left(3x-4\right)
Consider 3x^{4}-4x^{3}. Factor out x^{3}.
\frac{x^{3}\left(3x-4\right)}{12}
Rewrite the complete factored expression.
\frac{3x^{4}}{12}-\frac{4x^{3}}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 3 is 12. Multiply \frac{x^{4}}{4} times \frac{3}{3}. Multiply \frac{x^{3}}{3} times \frac{4}{4}.
\frac{3x^{4}-4x^{3}}{12}
Since \frac{3x^{4}}{12} and \frac{4x^{3}}{12} have the same denominator, subtract them by subtracting their numerators.