| Exam Board | SPS |
| Module | SPS FM (SPS FM) |
| Year | 2025 |
| Session | February |
| Topic | Generalised Binomial Theorem |
| Type | Product with linear term |
2. (i) Find the first three terms in the expansion of \(( 1 - 2 x ) ^ { - \frac { 1 } { 2 } }\) in ascending powers of \(x\), where \(| x | < \frac { 1 } { 2 }\).
(ii) Hence find the coefficient of \(x ^ { 2 }\) in the expansion of \(\frac { x + 3 } { \sqrt { 1 - 2 x } }\).
[0pt]
[BLANK PAGE]