We have been given an expression [tex]12a^3 - 9a^2 + 4a - 3[/tex]. We are asked to factor the given expression by grouping.
First of all, we will make two groups of our expression as:
[tex](12a^3-9a^2)+( 4a - 3)[/tex]
Now we will factor of greatest common factor from each group.
[tex](3a^2\cdot 4a-3a^2\cdot 3)+( 4a - 3)[/tex]
[tex]3a^2(4a-3)+1( 4a-3)[/tex]
Now we will factor out common terms [tex](4a-3)[/tex] as:
[tex](4a-3)( 3a^2+1)[/tex]
Therefore, the factorized form of our given expression would be [tex](4a-3)( 3a^2+1)[/tex].
