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0580/23 May/Jun 2024, Question 23: Algebraic Fractions

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks

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The question, in short

Combine the two algebraic fractions 2/(y + 1) and 3/y into one fraction, fully simplified.

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Solution · 3 marks

  1. 1Common denominator y(y + 1)
  2. 2= (2y − 3(y + 1))/(y(y + 1))
  3. 3= (2y − 3y − 3)/(y(y + 1))
  4. 4= (−y − 3)/(y(y + 1))

Answer(−y − 3)/(y(y + 1)) or (−y − 3)/(y² + y) or −(y + 3)/(y(y + 1)) or −(y + 3)/(y² + y)

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Also searched as: 0580/23/M/J/24 · 0580_s24_qp_23 · 0580 s24 23 · question 23.
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