| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Theorem (positive integer n) |
| Type | Standard product of two binomials |
| Difficulty | Moderate -0.8 This is a straightforward binomial expansion question requiring students to expand (1-x)^6 using the binomial theorem, then multiply by (1+x) and collect x^2 terms. It's more routine than average as it involves direct application of a standard formula with minimal algebraic manipulation. |
| Spec | 1.04a Binomial expansion: (a+b)^n for positive integer n |
\begin{enumerate}
\item Find the coefficient of $x ^ { 2 }$ in the expansion of
\end{enumerate}
$$( 1 + x ) ( 1 - x ) ^ { 6 }$$
\hfill \mbox{\textit{OCR C2 Q2 [5]}}