4024/11 May/Jun 2020, Question 26: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Combine the difference of the two algebraic fractions into one fraction and reduce it to simplest form.
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Solution · 4 marks
- 1Common denominator (x + 4)(3x − 2)
- 2Numerator = (2x + 3)(3x − 2) − 5(x + 4)
- 3= 6x² − 4x + 9x − 6 − 5x − 20
- 4= 6x² − 26
- 5Answer = (6x² − 26)/((x + 4)(3x − 2))
Answer(6x²−26)/((x + 4)(3x − 2))
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