Question

$$( m + n ) ^ { - 1 } \times ( m ^ { - 1 } + n ^ { - 1 } ) = ( m n ) ^ { - 1 }$$

Solve for m

$m\in \mathrm{R}\setminus -n,0$
$n\neq 0$

Solve for n

$n\in \mathrm{R}\setminus -m,0$
$m\neq 0$