0580/23 May/Jun 2023, Question 21: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
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The question, in short
Simplify the algebraic fraction (2x² + 5x − 12)/(4x² − 9) by factorising numerator and denominator, cancelling common factors.
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Solution · 4 marks
- 12x² + 5x − 12 = (2x − 3)(x + 4)
- 24x² − 9 = (2x − 3)(2x + 3)
- 3Cancel (2x − 3)
- 4= (x + 4)/(2x + 3)
Answer(x + 4)/(2x + 3)
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