| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2005 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Theorem (positive integer n) |
| Type | Sum/difference of two binomials simplification |
| Difficulty | Moderate -0.5 This is a straightforward binomial expansion question requiring expansion of two cubic expressions and subtraction. The symmetry causes all even-powered terms to cancel, leaving only odd powers. While it requires careful algebraic manipulation, it's a standard C2 exercise with no conceptual difficulty beyond basic binomial expansion and collecting like terms. |
| Spec | 1.04a Binomial expansion: (a+b)^n for positive integer n |
1 Simplify $( 3 + 2 x ) ^ { 3 } - ( 3 - 2 x ) ^ { 3 }$.
\hfill \mbox{\textit{OCR C2 2005 Q1 [5]}}