From the given expression
[tex]3(a-2)^2-(2-a)[/tex]Now,
Expand the above expression:
[tex]\begin{gathered} 3(a-2)^2-(2-a)=3(a^2-4a+4)-(2-a) \\ =3a^2-12a+12-2+a \\ =3a^2-11a+10 \end{gathered}[/tex]Then,
[tex]3a^2-11a+10=(3a-5)(a-2)[/tex]Hence, the answer is (3a - 5)(a - 2)
