0580/21 May/Jun 2025, Question 23: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 3 marks
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The question, in short
Simplify the algebraic fraction (2x² + 10x)/(x² − 25), showing the factorisation and cancellation needed to reach the simplest form.
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Solution · 3 marks
- 12x² + 10x = 2x(x + 5)
- 2x² − 25 = (x − 5)(x + 5)
- 32x(x + 5)/((x − 5)(x + 5)) = 2x/(x − 5)
Answer2x/(x − 5)
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Also searched as: 0580/21/M/J/25 · 0580_s25_qp_21 · 0580 s25 21 · question 23.
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