Question

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Answer 1

See below.

Explanation:

For this problem, we are asked to find equivalent expressions.

We should use the Distributive Property.

What is the Distributive Property?

The Distributive Property is a property that allows us to multiply the number outside of the parentheses into the numbers inside the parentheses. Think of the Distributive Property in the form of x (y + z); We multiply x with y and z.

Since we know what the Distributive Property is, we can begin finding equivalent expressions.

Let's start by distribution:

`3x+3(x+y)\\3x + 3x + 3y\\6x + 3y`

A is a correct option.

Let's check B and C.

Distribute:

`3(x+x+y)\\3x+3x+3y\\6x+3y`

B is a correct option.

Distributing isn't needed for expression C.

`3xy\\eq 6x + 3y`

C is an incorrect option.

A and B are the correct options.