Let $D(v)$ be a function representing the density of a gas relative to its volume $v$, defined by

$$D(v)={\left(2-\frac{v}{8}\right)}^{10}$$

Find the first 4 terms of the binomial expansion of $D(v)$ in ascending powers of $v$, giving each coefficient as an integer.

A related physical quantity $Q$ is derived from the density function such that

$$Q={\left(3+\frac{2}{v}\right)}^{2}D(v)$$

Hence, find the constant term in the series expansion of $Q$.