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:
![\mathrm{3g-12h+15}](https://img.qammunity.org/2023/formulas/mathematics/high-school/h6yoa4q3vuu0gk59mzk1n79ts8cd2xs4iy.png)
Is there anything in common? Yes, sure.
All terms have a 3 in common, so we divide all terms in the expression by 3:
![\mathrm{3g-12h+15}\\\mathrm{g-4h+5}](https://img.qammunity.org/2023/formulas/mathematics/high-school/a6syq2uah1on34rivepo47unoqxug7ihbv.png)
Therefore, the final answer is
![\mathrm{g-4h+5}](https://img.qammunity.org/2023/formulas/mathematics/high-school/5qjdxxxyr3io9kgln81nnma69x0cs6erfn.png)
I hope it helps.
Have a nice day.
![\boxed{imperturbability}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4e5twsd8myuuptqybbee35e90dbwcl3efm.png)