Problem

(a) Find the first three terms, in ascending powers of $x$, in the expansion of each of the following expressions.

(i) $(2 - px)^5$

(ii) $\left(1 - \frac{1}{2}x\right)^4$

(b) Given that the coefficient of $x^2$ in the expansion of $(2 - px)^5\left(1 - \frac{1}{2}x\right)^4$ is 93, find the possible values of the constant $p$.