Question

Which expressions are equivalent to 3x+3(x+y) ?

Choose all answers that apply:

A
6x+3y6x+3y

B
3(x+x+y)3(x+x+y)

C
3xy3xy

Answer 1

Option A and option B

Explanation:

`3x+3(x+y)`

Distribute 3 inside the parenthesis

`3x+3x+3y`

WE pull out 3 in common

`3x+3x+3y` can be written as
`3(x+x+y)`

`3x+3x+3y` , combine like terms

3x plus 3x becomes 6x

`3x+3x+3y` can be written as
`6x+3y`

option A and B are equivalent

Answer 2

A & B

Explanation:

The expression 3x+3(x+y) distributes to 3x+3x+3y. It simplifies to 6x+3y.

3x+3(x+y) can also be written as 3(x+x+y) using the associative property.