4024/12 May/Jun 2020, Question 23: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Combine 5/(2x − 1) − 3/(x + 4) into one fraction and simplify it fully.
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Solution · 3 marks
- 1Common denominator (2x − 1)(x + 4)
- 2Numerator = 5(x + 4) − 3(2x − 1)
- 3= 5x + 20 − 6x + 3 = 23 − x
- 4Answer = (23 − x)/((2x − 1)(x + 4))
Answer(23− x)/((2x−1)(x+4)) or (23− x)/(2x²+7x −4)
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