0580/42 May/Jun 2026, Question 15: Adding algebraic fractions
Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks
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The question, in short
Combine 8/(x + 2) + 3/(x − 4) into one fraction in its simplest form.
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Solution · 3 marks
- 1Common denominator (x + 2)(x − 4)
- 2= (8(x − 4) + 3(x + 2))/((x + 2)(x − 4))
- 3= (8x − 32 + 3x + 6)/((x + 2)(x − 4))
- 4= (11x − 26)/((x + 2)(x − 4))
Answer(11x − 26)/((x + 2)(x − 4)) or (11x − 26)/(x² − 2x − 8)
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 15.
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