Did I do this right?

I multiplied both numerator and denominator by $\displaystyle 4+2i$

For the numerator I got: $\displaystyle 16+8i+8i+4i^2$

$\displaystyle = 12+16i$

Now with the denominator I got: $\displaystyle 16+8i-8i-4i^2$

$\displaystyle = 20$