Question

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

A. 6x+3y

B. 3(x+x+y)

C. 3xy

Answer 1

The Correct option is A. 6x +3y

Therefore,

`3x+3(x+y)`

is Equivalent to

`6x+3y`

Explanation:

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

Distributive property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

For Example A(B+C)=AB + AC

Therefore,

`3x+3(x+y)`

Applying Distributive Property we get

`3x+3* x+3* y`

`3x+3x+3y`

Combining like terms we get

`6x+3y`

Therefore,

`3x+3(x+y)`

is Equivalent to

`6x+3y`