Answer: The correct expression is
(B) [tex]2a-6b+c.[/tex]
Step-by-step explanation: We are given to simplify the following expression :
[tex]E=a+2c-5b-c+a-b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To simplify the given expression (i), we need to combine the like terms.
The simplification of expression (i) is as follows :
[tex]E\\\\=a+2c-5b-c+a-b\\\\=(1+1)a+(-5-1)b+(2-1)c\\\\=2a-6b+c.[/tex]
Thus, the required simplified answer is [tex]2a-6b+c.[/tex]
Option (B) is CORRECT.
