Question

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

Answer 1

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.