What is the quotient of the rational expressions shown below? make sure
your answer is in reduced form.

The correct answer is option D. 2(x + 4)/(x - 4)

Step-by-step explanation:

It is given that,

[(x² - 16)/(x + 5)] ÷ [(x² - 8x + 16)/(2x + 10)]

To find the reduced form of given expression

[(x² - 16)/(x + 5)] ÷ [(x² - 8x + 16)/(2x + 10)]

 = [(x² - 16)/(x + 5)] * (2x + 10)/[(x² - 8x + 16)]

 =[(x + 4)(x - 4)/(x + 5)]  * [2(x + 5)/(x - 4)]

 = [(x + 4)(x - 4) * 2 * (x + 5)]/[(x + 5)(x - 4)]

 = 2(x + 4)/(x - 4)

The correct answer is option D. 2(x + 4)/(x - 4)

3/6   and 9/18

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