Hello.
In order to factor an expression, we need to find the common term and divide all terms in the expression by this common term.
Let's take a look at our expression and see if we can spot the common term and factor it out.
Our expression is:
[tex]\mathrm{3g-12h+15}[/tex]
Is there anything in common? Yes, sure.
All terms have a 3 in common, so we divide all terms in the expression by 3:
[tex]\mathrm{3g-12h+15}\\\mathrm{g-4h+5}[/tex]
Therefore, the final answer is
[tex]\mathrm{g-4h+5}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]