Answer:
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)
