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

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Divide-example-1

1 Answer

2 votes

Answer:

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)