0580/23 May/Jun 2026, Question 24: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 4 marks
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The question, in short
Combine the two algebraic fractions into one fraction and simplify it fully.
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Solution · 4 marks
- 1Common denominator (x + 3)(x − 2)
- 2Numerator: (x − 2)² + (x + 3)²
- 3= x² − 4x + 4 + x² + 6x + 9 = 2x² + 2x + 13
- 4(2x² + 2x + 13)/((x + 3)(x − 2))
Answer(2x² + 2x + 13)/((x + 3)(x − 2))
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Also searched as: 0580/23/M/J/26 · 0580_s26_qp_23 · 0580 s26 23 · question 24.
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