0580/42 May/Jun 2026, Question 22: Simplifying algebraic fractions
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks
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The question, in short
Simplify (8x² + 24x)/(2x² − 18) fully.
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Solution · 3 marks
- 18x² + 24x = 8x(x + 3)
- 22x² − 18 = 2(x² − 9) = 2(x − 3)(x + 3)
- 3(8x(x + 3))/(2(x − 3)(x + 3)) = 4x/(x − 3)
Answer4x/(x − 3)
Stuck on a step? Read the free lesson: Algebraic Fractions
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Also searched as: 0580/42/M/J/26 · 0580_s26_qp_42 · 0580 s26 42 · question 22.
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