Question

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

Answer 1

The answer is option 2.

Explanation:

Firstly, you must factorize the possible expressions :

`\frac{ {x}^(2) - 2x - 15 }{x - 3} / \frac{x - 5}{ {x}^(2) - 9 }`

`= ((x - 5)(x + 3))/(x - 3) / (x - 5)/((x - 3)(x + 3))`

Next you have to divide by converting to multiplication :

`= ((x - 5)(x + 3))/(x - 3) * ((x - 3)(x + 3))/(x - 5)`

Lastly, you can cut out the similar expressions :

`= ((x - 5)(x + 3)(x - 3)(x + 3))/((x - 3)(x - 5))`

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