0580/22 Oct/Nov 2021, 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 (3xy + 36y − 5x − 60)/(2x² − 288) by factorising numerator and denominator.
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Solution · 4 marks
- 1Numerator: 3y(x + 12) − 5(x + 12) = (3y − 5)(x + 12)
- 2Denominator: 2(x² − 144) = 2(x − 12)(x + 12)
- 3Cancel (x + 12)
- 4= (3y − 5)/(2(x − 12))
Answer(3y − 5)/(2(x − 12)) or (3y − 5)/(2x − 24)
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Also searched as: 0580/22/O/N/21 · 0580_w21_qp_22 · 0580 w21 22 · question 23.
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