0580/23 May/Jun 2024, Question 25: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
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The question, in short
Simplify the algebraic fraction (pt − p − t + 1)/(1 − t²).
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Solution · 4 marks
- 1Numerator: p(t − 1) − (t − 1) = (p − 1)(t − 1)
- 2Denominator: 1 − t² = (1 − t)(1 + t)
- 3(t − 1)/(1 − t) = −1
- 4= −(p − 1)/(1 + t) = (1 − p)/(1 + t)
Answer(1 − p)/(1 + t)
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Also searched as: 0580/23/M/J/24 · 0580_s24_qp_23 · 0580 s24 23 · question 25.
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