0580/22 Feb/Mar 2023, Question 23: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Simplify the algebraic fraction (5x² − 19x + 12)/(x² − 9) by factorising numerator and denominator and cancelling common factors.
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Solution · 4 marks
- 15x² − 19x + 12 = (5x − 4)(x − 3)
- 2x² − 9 = (x + 3)(x − 3)
- 3(5x − 4)(x − 3)/((x + 3)(x − 3)) = (5x − 4)/(x + 3)
Answer(5x − 4)/(x + 3)
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