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.
