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Which expression is equivalent to

?
A
d+6d+6d+6
B
5d+55d+55d+5
C
d+5d+5d+5
D
5d+15d+15d+1

1 answer

To determine which expression is equivalent to the first expression, which I'm assuming is \(d + 6d + 6d + 6\), we can simplify that first.

Starting with the expression:

  1. Combine like terms:

    \(d + 6d + 6d + 6 = d + 12d + 6 = 13d + 6\)

Now, let's analyze the options:

A. \(d + 6d + 6d + 6 = 13d + 6\) (This is the expression we just simplified.)

B. \(5d + 5 + 5d + 5 = 10d + 10\)

C. \(d + 5d + 5d + 5 = 11d + 5\)

D. \(5d + 15d + 15d + 1 = 35d + 1\)

The correct choice that matches \(13d + 6\) is:

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