Answer
$4\pi r^{2}(1+\frac{1}{3}r)$
Work Step by Step
In order to factor out $4\pi r^{2}$ from $4\pi r^{2}+\frac{4}{3}\pi r^{2}$, use the distributive property.
$4\pi r^{2}(1)+4\pi r^{2}(\frac{1}{3}r)$
This takes $4\pi r^{2}$ out of the parenthesis.
After simplifying, you are left with: $4\pi r^{2}(1+\frac{1}{3}r)$.
