Question

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Divide

Answer 1

Answer:

The answer is option 2.

Step-by-step explanation:

Firstly, you must factorize the possible expressions :

$\frac{ {x}^{2} - 2x - 15 }{x - 3} \div \frac{x - 5}{ {x}^{2} - 9 }$

$= \frac{(x - 5)(x + 3)}{x - 3} \div \frac{x - 5}{(x - 3)(x + 3)}$

Next you have to divide by converting to multiplication :

$= \frac{(x - 5)(x + 3)}{x - 3} \times \frac{(x - 3)(x + 3)}{x - 5}$

Lastly, you can cut out the similar expressions :

$= \frac{(x - 5)(x + 3)(x - 3)(x + 3)}{(x - 3)(x - 5)}$

$= {(x + 3)}^{2}$