0580/23 May/Jun 2022, Question 22: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Simplify the algebraic fraction (5x − x²)/(25 − x²), showing the factorisation and cancellation needed for 3 marks.
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Solution · 3 marks
- 15x − x² = x(5 − x)
- 225 − x² = (5 − x)(5 + x)
- 3x(5 − x)/((5 − x)(5 + x)) = x/(5 + x)
Answerx/(5 + x)
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