Question

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis

Answer 1

The question is incomplete. The complete question is :

Which expressions are equivalent to 3x+3(x+y)3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis ? Choose all answers that apply:

(Choice A) A 6x+3y6x+3y6, x, plus, 3, y

(Choice B) B 3(x+x+y)3(x+x+y)3, left parenthesis, x, plus, x, plus, y, right parenthesis

(Choice C) C 3xy3xy

Solution :

The equation is given as follows :

3x + 3(x+y)

We can simplify the equation in order to determine the equivalent expression.

Now applying the distributive property,

$3x+(3)(x)+(y)(3)$

$=3x+3x+3y$

When we add the like terms we get :

3x+3x+3y = 6x + 3y

When we factor out the term 3, we get :

3x + 3x + 3y = 3(x + x + y)

So, the expressions in options (B) and (C) are equivalent to the expression 3x + 3(x + y).