Apply the properties of operations to determine which expression is equivalent to a+b+c(d+2) .
To apply the properties of operations to the expression a+b+c(d+2), we can simplify the expression using the distributive property.
Recall that the distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac.
Applying the distributive property to the expression a+b+c(d+2), we can distribute the c to both terms within the parentheses:
c(d + 2) = cd + 2c.
Now we have:
a + b + cd + 2c.
Therefore, the expression a+b+c(d+2) is equivalent to a + b + cd + 2c.