4024/12 May/Jun 2026, Question 21: Algebraic fractions
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Combine (2x + 3)/(x − 1) − 5x/(4 − x) into one fraction in its simplest form.
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Solution · 4 marks
- 1Common denominator (x − 1)(4 − x)
- 2Numerator = (2x + 3)(4 − x) − 5x(x − 1)
- 3= 8x − 2x² + 12 − 3x − 5x² + 5x
- 4= −7x² + 10x + 12
- 5Answer (−7x² + 10x + 12)/((x − 1)(4 − x))
Answer(−7x² + 10x + 12)/((x − 1)(4 − x)) or (−7x² + 10x + 12)/(−x² + 5x − 4)
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Also searched as: 4024/12/M/J/26 · 4024_s26_qp_12 · 4024 s26 12 · question 21.
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