0580/42 May/Jun 2025, Question 23: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks
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The question, in short
Simplify the algebraic fraction (h² + 4h)/(h² − 16), showing the factorisation and cancellation needed to reach the simplest form.
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Solution · 3 marks
- 1h² + 4h = h(h + 4)
- 2h² − 16 = (h + 4)(h − 4)
- 3h(h + 4)/((h + 4)(h − 4)) = h/(h − 4)
Answerh/(h − 4)
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