factor: r^3+125
You asked:
Factor the expression: \(\displaystyle {r}^{3} + 125\)
MathBot Answer:
Factorization over the rational numbers:
\[\left(r + 5\right) \left(r^{2} - 5 r + 25\right)\]Factorization over the complex numbers:
\[\left(r + 5\right) \left(r - \left(\frac{5}{2} + \frac{5 \sqrt{3} i}{2}\right)\right) \left(r - \left(\frac{5}{2} - \frac{5 \sqrt{3} i}{2}\right)\right)\]\(i\) is the imaginary unit, defined as \(i^2 = -1\).