## Question: Factorise $8fg+4f$.
Solution: We want to look for things that each of the two terms have in common. Firstly, they both have a factor of 4. Secondly, the both have a factor of $f$. That means we can take out a factor of $4fg$, and then remove the appropriate parts from each term accordingly.
$8fg+4fg=4f\left(2g + 1\right)$