Factor 8+27n^3
You asked:
Factor the expression: \(\displaystyle 8 + 27 \cdot {n}^{3}\)
MathBot Answer:
Factorization over the rational numbers:
\[\left(3 n + 2\right) \left(9 n^{2} - 6 n + 4\right)\]Factorization over the complex numbers:
\[27 \left(n + \frac{2}{3}\right) \left(n - \left(\frac{1}{3} + \frac{\sqrt{3} i}{3}\right)\right) \left(n - \left(\frac{1}{3} - \frac{\sqrt{3} i}{3}\right)\right)\]\(i\) is the imaginary unit, defined as \(i^2 = -1\).