Question 9
**(a)** Find the first three terms, in ascending powers of $x$, in the expansion of each of the following expressions.
**(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 $p$.
(In part (a) you found $(2 - px)^5 = 32 - 80px + 80p^2x^2 + \ldots$ and $\left(1 - \frac{1}{2}x\right)^4 = 1 - 2x + \frac{3}{2}x^2 + \ldots$)
**(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 $p$.
(In part (a) you found $(2 - px)^5 = 32 - 80px + 80p^2x^2 + \ldots$ and $\left(1 - \frac{1}{2}x\right)^4 = 1 - 2x + \frac{3}{2}x^2 + \ldots$)
