Question

Question
Apply the properties of operations to determine which expression is equivalent to a+b+c(d+2)
.(1 point)
Responses

2abcd
2 a b c d

a+b+cd+c
a plus b plus c d plus c

a+b+cd+2c
a plus b plus c d plus 2 c

a+b+cd+2
a plus b plus c d plus 2

Answer 1

To simplify the expression \( a + b + c(d + 2) \), we start by distributing \( c \) to the terms inside the parentheses:

\[
c(d + 2) = cd + 2c
\]

Now, substituting this back into the original expression gives:

\[
a + b + cd + 2c
\]

Thus, the expression equivalent to \( a + b + c(d + 2) \) is:

\[
a + b + cd + 2c
\]

Therefore, the correct response is:

**a + b + cd + 2c**