# Question #bd799

Oct 27, 2016

$f \left(a + h\right) = 3 {\left(a + h\right)}^{2} + 2$ or $f \left(a + h\right) = 3 {a}^{2} + 6 a h + 3 {h}^{2} + 2$

#### Explanation:

To solve this problem you need to substitute $\left(a + h\right)$ into the equation for everywhere in the equation there is an $x$ or:

$f \left(a + h\right) = 3 {\left(a + h\right)}^{2} + 2$

If you want to expand this would equal:

$f \left(a + h\right) = 3 \left(a + h\right) \left(a + h\right) + 2$

$f \left(a + h\right) = 3 \left({a}^{2} + 2 a h + {h}^{2}\right) + 2$

$f \left(a + h\right) = 3 {a}^{2} + 6 a h + 3 {h}^{2} + 2$