Question

which expression is equivalent to -1/3(12d + 18)?

A. 4d + 6

b. -4d + 6

c. 4d - 6

d. -4d - 6

Answer 1

To simplify the expression \(-\frac{1}{3}(12d + 18)\), we can distribute \(-\frac{1}{3}\) to both terms inside the parentheses.

1. Distribute \(-\frac{1}{3}\) to \(12d\):
\[
-\frac{1}{3} \cdot 12d = -4d
\]

2. Distribute \(-\frac{1}{3}\) to \(18\):
\[
-\frac{1}{3} \cdot 18 = -6
\]

Now, combine the two results:
\[
-\frac{1}{3}(12d + 18) = -4d - 6
\]

Thus, the expression \(-\frac{1}{3}(12d + 18)\) is equivalent to:
\[
-4d - 6
\]

Therefore, the answer is:
**d. \(-4d - 6\)**