4024/12 May/Jun 2021, Question 22: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Combine 3/(x − 7) + 2/(x + 5) into one fraction and simplify it fully.
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Solution · 3 marks
- 1Common denominator (x − 7)(x + 5)
- 2Numerator = 3(x + 5) + 2(x − 7) = 3x + 15 + 2x − 14
- 3= (5x + 1)/((x − 7)(x + 5))
Answer(5x + 1)/((x − 7)(x + 5)) or (5x + 1)/(x² − 2x − 35)
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Also searched as: 4024/12/M/J/21 · 4024_s21_qp_12 · 4024 s21 12 · question 22.
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