4024/13 May/Jun 2026, Question 24: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Combine the difference of the two algebraic fractions into one fraction and simplify it fully.
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Solution · 4 marks
- 1Common denominator (x + 1)(x − 4)
- 2Numerator: (x + 3)(x − 4) − 2(x + 1)
- 3= x² − x − 12 − 2x − 2
- 4= x² − 3x − 14
- 5Answer: (x² − 3x − 14)/((x + 1)(x − 4))
Answer(x² − 3x − 14)/((x + 1)(x − 4)) or (x² − 3x − 14)/(x² − 3x − 4)
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Also searched as: 4024/13/M/J/26 · 4024_s26_qp_13 · 4024 s26 13 · question 24.
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