0580/21 Oct/Nov 2025, Question 25: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 4 marks
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The question, in short
Simplify the algebraic fraction (10ax + 6bx − 25a − 15b) divided by (4x² − 25).
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Solution · 4 marks
- 1Numerator: 2x(5a + 3b) − 5(5a + 3b) = (5a + 3b)(2x − 5)
- 2Denominator: 4x² − 25 = (2x + 5)(2x − 5)
- 3(5a + 3b)(2x − 5)/((2x + 5)(2x − 5)) = (5a + 3b)/(2x + 5)
Answer(5a + 3b)/(2x + 5)
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Also searched as: 0580/21/O/N/25 · 0580_w25_qp_21 · 0580 w25 21 · question 25.
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