| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Theorem (positive integer n) |
| Type | Sum/difference of two binomials simplification |
| Difficulty | Standard +0.3 This is a straightforward binomial expansion question requiring systematic application of the binomial theorem, recognition that odd powers cancel, and solving a quadratic equation. While it has multiple steps and requires careful algebra, it follows a standard pattern with no novel insight needed—slightly easier than average for A-level. |
| Spec | 1.04a Binomial expansion: (a+b)^n for positive integer n |
(a) Given that
$$(2 + x)^5 + (2 - x)^5 ≡ A + Bx^2 + Cx^4,$$
Find the values of the constants A, B and C. [6 marks]
(b) Using the substitution y = x² and your answers to part (a), solve,
$$(2 + x)^5 + (2 - x)^5 = 349.$$ [5 marks]
\hfill \mbox{\textit{Edexcel C2 Q6 [11]}}