Edexcel C3 — Question 12 7 marks

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Marks7
PaperDownload PDF ↗
TopicPartial Fractions
TypeSimplify algebraic fractions by addition or subtraction
DifficultyStandard +0.3 This is a straightforward algebraic manipulation question requiring factorization of denominators, finding a common denominator, and simplifying. While it has multiple steps (7 marks), it involves only standard techniques with no conceptual difficulty or novel insight—slightly above average due to the algebraic complexity and potential for arithmetic errors.
Spec1.02k Simplify rational expressions: factorising, cancelling, algebraic division

Express \(\frac{3}{x^2 + 2x} + \frac{x - 4}{x^2 - 4}\) as a single fraction in its simplest form. [7]

Express $\frac{3}{x^2 + 2x} + \frac{x - 4}{x^2 - 4}$ as a single fraction in its simplest form. [7]

\hfill \mbox{\textit{Edexcel C3  Q12 [7]}}