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

To determine which expression is equivalent to a + b + c(d + 2), we can apply the properties of operations.

First, we can distribute the c term to the terms inside the parentheses:
c(d + 2) = cd + 2c

Then, we can rewrite the expression with the distributed term:
a + b + c(d + 2) = a + b + cd + 2c

Therefore, the expression equivalent to a + b + c(d + 2) is a + b + cd + 2c.