What's equivalent to the expression below?

Question

6x+ 2x + y +3y

 

A) 2(4x+y)

B) 4(2x+y)

C) 4(2x+2y)

D) 8(x+y)

Answer 1

Mally:

 

Collect the like terms together:

 

6x+ 2x + y +3y = x(6+2) + y (1 +3) = 8x +4y.

 

The above expression on the right can be written as 4(2x + y), which is answer (B).

 

Dattaprabhakar (Dr. G.)

 

Answer 2

Combine like terms.

 

6x + 2x = 8x and y + 3y = 4y

 

So 6x + 2x + y + 3y = 8x + 4y

 

Now factor out the GCF which is 4 and we get

 

4(2x + y)

 

Answer B