Using division of fractions, the equivalent expression is:
B. [tex]\frac{4}{d - 6}[/tex].
How to divide fractions?
To divide two fractions, we multiply the first by the inverse of the second.
In this problem, we have that:
- The first fraction is: [tex]\frac{2d - 6}{d^2 + 2d - 48} = \frac{2(d - 3)}{(d + 8)(d - 6)}[/tex].
- The second fraction is: [tex]\frac{d - 3}{2d + 16} = \frac{d - 3}{2(d + 8)}[/tex].
Applying the multiplication, we have that:
[tex]\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3} = \frac{4}{d - 6}[/tex].
Hence option B is correct.
More can be learned about division of fractions at https://brainly.com/question/8433134
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