Question

Which expression is equivalent to
?
A
d+6d+6d+6
B
5d+55d+55d+5
C
5d+15d+15d+1
D
d+5d+5d+5

Answer 1

To determine which expression is equivalent to the original expression, let's analyze the given options one by one.

The original expression you provided seems to be missing. However, I will simplify each option based on common algebraic principles.

**Option A: \(d + 6d + 6d + 6\)**

Combining like terms:
\[
d + 6d + 6d + 6 = 1d + 6d + 6d + 6 = 13d + 6
\]

**Option B: \(5d + 55d + 55d + 5\)**

Combining like terms:
\[
5d + 55d + 55d + 5 = 5 + (5d + 55d + 55d) = 5 + 115d = 115d + 5
\]

**Option C: \(5d + 15d + 15d + 1\)**

Combining like terms:
\[
5d + 15d + 15d + 1 = (5d + 15d + 15d) + 1 = 35d + 1
\]

**Option D: \(d + 5d + 5d + 5\)**

Combining like terms:
\[
d + 5d + 5d + 5 = (1d + 5d + 5d) + 5 = 11d + 5
\]

Now we can summarize the equivalent expressions:

- Option A: \(13d + 6\)
- Option B: \(115d + 5\)
- Option C: \(35d + 1\)
- Option D: \(11d + 5\)

To find the correct equivalent expression, we would need the original expression you're comparing to. Please provide it to identify the correct match among the options.