Given:
The expression is
[tex]12ab-6b[/tex]
The equivalent expression of this expression is
[tex]\_\_\_?\_\_\_(2a-1)[/tex]
To find:
The missing value.
Solution:
We have,
[tex]12ab-6b[/tex]
The factor form of [tex]12ab[/tex] is
[tex]12ab=2\times 2\times 3\times a\times b[/tex]
The factor form 6b is
[tex]6b=2\times 3\times b[/tex]
The common factors of [tex]12ab[/tex] and [tex]6b[/tex] are [tex]2,3,b[/tex].
[tex]HCF(12ab,6b)=2\times 3\times b[/tex]
[tex]HCF(12ab,6b)=6b[/tex]
Taking out the highest common factors(HCF) from the given expression, we get
[tex]12ab-6b=6b(2a-1)[/tex]
On comparing this with [tex]\_\_\_?\_\_\_(2a-1)[/tex], we get the missing value which is equal to [tex]6b[/tex].
Therefore, the correct option is A.
