0580/23 Oct/Nov 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 (3x − 2 − 3xy + 2y)/(1 − y²), showing the factorisation needed to cancel common factors.
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Solution · 4 marks
- 1Numerator: 3x − 2 − y(3x − 2) = (3x − 2)(1 − y)
- 2Denominator: 1 − y² = (1 − y)(1 + y)
- 3(3x − 2)(1 − y) / ((1 − y)(1 + y))
- 4= (3x − 2)/(1 + y)
Answer(3x − 2)/(1 + y)
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Also searched as: 0580/23/O/N/24 · 0580_w24_qp_23 · 0580 w24 23 · question 25.
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