Question

Select the correct answer

Answer 1

Answer:

B. $\frac{4}{(d - 6)}$

Step-by-step explanation:

$\frac{2d - 6}{d^2 + 2d - 48} \div \frac{d - 3}{2d + 16}$

Change the operation from ÷ to ×, then flip the fraction by your right upside down.

$\frac{2d - 6}{d^2 + 2d - 48} \times \frac{2d + 16}{d - 3}$

$\frac{2d - 6}{d^2 + 8d - 6d - 48} \times \frac{2d + 16}{d - 3}$

$\frac{2(d - 3)}{d(d + 8) - 6(d + 8)} \times \frac{2(d + 8)}{d - 3}$

$\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3}$

$\frac{2(1)}{(1)(d - 6)} \times \frac{2(1)}{1}$

$\frac{2}{(d - 6)} \times \frac{2}{1}$

$\frac{2 \times 2}{(d - 6) \times 1}$

$\frac{4}{(d - 6)}$