# Divide (a) 2a^2+6 by 4 ?

Feb 17, 2018

${a}^{2} / 2 + \frac{3}{2} \mathmr{and} \frac{{a}^{2} + 3}{2}$

#### Explanation:

If you divide $2 {a}^{2} + 6$ by $4$, you have the fraction:

$\frac{2 {a}^{2} + 6}{4}$

Simplifying is easier if you "split" the fraction into two terms, both over the common denominator of $4$ :

$\frac{2 {a}^{2} + 6}{4} = \frac{2 {a}^{2}}{4} + \frac{6}{4}$

Simplifying the fractions will give you:

${a}^{2} / 2 + \frac{3}{2} \mathmr{and} \frac{{a}^{2} + 3}{2}$