Answer
$-\frac{h - 4}{h + 2}$
Work Step by Step
To divide two expressions, we multiply the first one with the reciprocal of the second one:
$\frac{h - 5}{h + 2} • \frac{h - 4}{5 - h}$
When multiplying two rational expressions, we combine the two expressions together into one by multiplying the numerators together and multiplying the denominators together:
$\frac{(h - 5)(h - 4)}{(h + 2)(5 - h)}$
We can cancel out the common factors in the numerator and denominator. $h - 5$ and $5 - h$ are inverses of each other, so when we cancel them out, we get $-1$ as the result:
$-\frac{h - 4}{h + 2}$
