Question

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

Answer 1

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

$E\\\\=3x+3x+5+5\\\\=(3+3)x+10\\\\=6x+10\\\\=2\times3x+2\times5\\\\=2(3x+5).$

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

Option (B) is CORRECT.

Answer 2

Remember
ab+ac=a(b+c0

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

2nd option