0580/22 May/Jun 2023, Question 22: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Combine 5/(3x + 2) and 4/(2x − 1) into one fraction in simplest form.
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Solution · 3 marks
- 1Common denominator (3x + 2)(2x − 1)
- 2= [5(2x − 1) + 4(3x + 2)]/((3x + 2)(2x − 1))
- 3= (10x − 5 + 12x + 8)/((3x + 2)(2x − 1))
- 4= (22x + 3)/((3x + 2)(2x − 1))
Answer(22x + 3)/((3x + 2)(2x − 1))
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Also searched as: 0580/22/M/J/23 · 0580_s23_qp_22 · 0580 s23 22 · question 22.
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