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

Question

.(1 point)
Responses

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

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

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

2abcd
2 a b c d
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Answer 1

To simplify the expression \( a + b + c(d + 2) \), you can use the distributive property.

Starting with:

\[ a + b + c(d + 2) \]

Distributing the \( c \) results in:

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

So, the expression is equivalent to:

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

From the provided options, the correct response is:

a + b + cd + 2c.

This corresponds to the first option listed in your responses.