0580/23 May/Jun 2025, Question 19: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 3 marks
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The question, in short
Simplify the algebraic fraction (7x − x²)/(49 − x²).
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Solution · 3 marks
- 17x − x² = x(7 − x)
- 249 − x² = (7 − x)(7 + x)
- 3x(7 − x)/((7 − x)(7 + x)) = x/(7 + x)
Answerx/(7 + x)
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