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

Answer 1

To determine which expression is equivalent to a + b + c (d + 2), we can apply the distributive property of multiplication over addition. The distributive property states that a(b + c) is equivalent to ab + ac.

Using this property, we can distribute the terms within the parentheses to get:

a + b + c * d + c * 2

This can be further simplified by multiplying c with d and 2:

a + b + cd + 2c

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