Answer :
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,
[tex]$3x+(3)(x)+(y)(3)$[/tex]
[tex]$=3x+3x+3y$[/tex]
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).
Answer:
Step-by-step explanation:
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,
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).