Factor 3−w^3
You asked:
Factor the expression: \(\displaystyle 3 - {w}^{3}\)
MathBot Answer:
Factorization over the real numbers:
\[- 3 \cdot \left(0.333333333333333 w^{3} - 1\right)\]Factorization over the complex numbers:
\[- \left(w - \sqrt[3]{3}\right) \left(w + \left(\frac{\sqrt[3]{3}}{2} - \frac{3^{\frac{5}{6}} i}{2}\right)\right) \left(w + \left(\frac{\sqrt[3]{3}}{2} + \frac{3^{\frac{5}{6}} i}{2}\right)\right)\]\(i\) is the imaginary unit, defined as \(i^2 = -1\).