Answer
$= \frac{49}{4}$
Work Step by Step
We plug in $x = - \frac{3}{2}$ and $y=-2$ to obtain:
$= x^{2} +2xy+y^{2}$
$= (-\frac{3}{2})^{2} +2(-\frac{3}{2})(-2)+(-2)^{2}$
$= (\frac{9}{4}) -(\frac{6}{2})(-2)+4$
$= (\frac{9}{4}) - 3(-2)+4$
$= (\frac{9}{4}) + 6 + 4$
$= (\frac{9}{4}) + 10\\\\=\frac{9+40}{4}$
$= \frac{49}{4}$
