Simplify.
-$\frac { m ^ { - 1 } + z ^ { - 1 } } { m ^ { - 1 } - z ^ { - 1 } }$
A) $\frac { z + m } { z }$
B) $\frac { \mathrm { z } + \mathrm { m } } { \mathrm { m } }$
C) $\frac { z - m } { z }$
D) $\frac { \mathrm { z } + \mathrm { m } } { \mathrm { z } - \mathrm { m } }$

Question

Quizplus · Accepted Answer

The expression can be rewritten as $\frac{\frac{1}{m} + \frac{1}{z}}{\frac{1}{m} - \frac{1}{z}}$. By finding a common denominator for the numerator and the denominator, it simplifies to $\frac{\frac{z+m}{mz}}{\frac{z-m}{mz}}$, which further simplifies to $\frac{z+m}{z-m}$.

Simplify - m−1+z−1m−1−z−1\frac { m ^ { - 1 } + z ^ { - 1 } } { m ^ { - 1 } - z ^ { - 1 } }m−1−z−1m−1+z−1​

Simplify
- $\frac { m ^ { - 1 } + z ^ { - 1 } } { m ^ { - 1 } - z ^ { - 1 } }$