| Exam Board | Edexcel |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Partial Fractions |
| Type | Simplify algebraic fractions by addition or subtraction |
| Difficulty | Standard +0.3 This question requires combining algebraic fractions with factorization (recognizing x²-9 as difference of squares) and simplification. While it involves multiple steps including finding a common denominator and algebraic manipulation, it's a straightforward procedural exercise testing standard techniques without requiring problem-solving insight or novel approaches. The 6 marks reflect the working required rather than conceptual difficulty. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division1.02y Partial fractions: decompose rational functions |
Express $\frac{x}{(x+1)(x+3)} + \frac{x+12}{x^2-9}$ as a single fraction in its simplest form. [6]
\hfill \mbox{\textit{Edexcel C3 Q20 [6]}}