0580/21 Oct/Nov 2021, Question 19: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Combine 2/(x + 3) − (x + 2)/7 into one fraction and simplify it fully.
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Solution · 3 marks
- 1Common denominator 7(x + 3)
- 2= [7 × 2 − (x + 2)(x + 3)] / 7(x + 3)
- 3= (14 − (x² + 5x + 6)) / 7(x + 3)
- 4= (8 − 5x − x²)/(7(x + 3))
Answer(8 − 5x − x²)/(7(x + 3)) or (8 − 5x − x²)/(7x + 21)
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