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\frac{1}{-x^{3}}+4
Factor -x^{3}.
\frac{1}{-x^{3}}+\frac{4\left(-1\right)x^{3}}{-x^{3}}
To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{-x^{3}}{-x^{3}}.
\frac{1+4\left(-1\right)x^{3}}{-x^{3}}
Since \frac{1}{-x^{3}} and \frac{4\left(-1\right)x^{3}}{-x^{3}} have the same denominator, add them by adding their numerators.
\frac{1-4x^{3}}{-x^{3}}
Do the multiplications in 1+4\left(-1\right)x^{3}.