1/a³-125b³

asked by guest
on Sep 18, 2024 at 6:48 pm



You asked:

Evaluate the expression: \(\frac{1}{{a}^{3}} - 125 \cdot {b}^{3}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{1}{{a}^{3}} - 125 \cdot {b}^{3} = - 125 b^{3} + \frac{1}{a^{3}} \)


Factored

\[\frac{1}{{a}^{3}} - 125 \cdot {b}^{3} = - \frac{\left(5 a b - 1\right) \left(25 a^{2} b^{2} + 5 a b + 1\right)}{a^{3}}\]