4024/13 May/Jun 2025, Question 22: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Simplify the algebraic fraction (x² − 9)/(5x² − 11x − 12) by factorising the numerator and denominator and cancelling common factors.
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Solution · 4 marks
- 1x² − 9 = (x − 3)(x + 3)
- 25x² − 11x − 12 = (5x + 4)(x − 3)
- 3(x − 3)(x + 3)/((5x + 4)(x − 3))
- 4= (x + 3)/(5x + 4)
Answer(x+3)/(5x+4)
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Also searched as: 4024/13/M/J/25 · 4024_s25_qp_13 · 4024 s25 13 · question 22.
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