$\frac{10 - 16i + 15i - 24i²}{5² -(8i)²}$

asked by guest
on Oct 22, 2024 at 7:11 pm



You asked:

Evaluate the expression: \(\frac{10 - 16 i + 15 i - 24 \cdot {i}^{2}}{{5}^{2} - {\left( 8 i \right)}^{2}}\)

MathBot Answer:

Evaluated



\(\displaystyle \frac{10 - 16 i + 15 i - 24 \cdot {i}^{2}}{{5}^{2} - {\left( 8 i \right)}^{2}} = \frac{34}{89} - \frac{i}{89} \)


Expanded

\[\frac{10 - 16 i + 15 i - 24 \cdot {i}^{2}}{{5}^{2} - {\left( 8 i \right)}^{2}} = \frac{34}{89} - \frac{i}{89}\]


\(i\) is the imaginary unit, defined as \(i^2 = -1\).