# How do you evaluate (a^2 - 2(b^2-a)) /(2 +a) for a = 3 and b= 5?

Aug 7, 2016

$= - 7$

#### Explanation:

$\frac{{a}^{2} - 2 \left({b}^{2} - a\right)}{2 + a}$ for $a = 3$ and $b = 5$
$= \frac{{3}^{2} - 2 \left({5}^{2} - 3\right)}{2 + 3}$
$= \frac{9 - 2 \left(25 - 3\right)}{5}$
$= \frac{9 - 2 \left(22\right)}{5}$
$= \frac{9 - 44}{5}$
$= - \frac{35}{5}$
$= - 7$