Question

Which of the following expressions is equivalent to 3x + 3x + 5 + 5?

3(x + 5)
2(3x + 5)
2(6x + 10)
3(x + 10)

Answer 1

remember
ab+ac=a(b+c0

3x+3x+5+5
2(3x)+2(5)
2(3x+5)

2nd option

Answer 2

Answer: The correct option is

(B) 2(3x+5).

Step-by-step explanation: We are given to select the expression that is equivalent to the following expression :

`E=3x+3x+5+5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following property :

`az+bz=(a+b)z.`

From expression (i), we get

`E\\\\=3x+3x+5+5\\\\=(3+3)x+10\\\\=6x+10\\\\=2*3x+2*5\\\\=2(3x+5).`

Thus, the required equivalent expression is 2(3x+5).

Option (B) is CORRECT.