| Exam Board | SPS |
|---|
| Module | SPS SM Pure (SPS SM Pure) |
|---|
| Year | 2023 |
|---|
| Session | February |
|---|
| Topic | Generalised Binomial Theorem |
|---|
| Type | Expand and state validity |
|---|
6.
$$f ( x ) = ( 3 - 2 x ) ^ { - 4 }$$
a)
Find the binomial expansion of \(\mathrm { f } ( x )\), in ascending powers of \(x\), up to and including the term in \(x ^ { 2 }\), giving each coefficient as a simplified fraction.
(3)
b) For what values of \(x\) is the expansion valid?