Answer
$\frac{x + 2}{x + 7}$
Work Step by Step
To divide two expressions, we multiply the first one with the reciprocal of the second one:
$\frac{x + 2}{x - 3} • \frac{x - 3}{x + 7}$
When multiplying two rational expressions, we combine the two expressions together into one by multiplying the numerators together and multiplying the denominators together:
$\frac{(x + 2)(x - 3)}{(x - 3)(x + 7)}$
We can cancel out the common factors in the numerator and denominator:
$\frac{x + 2}{x + 7}$