4MA1/2H Jan 2021, Question 21: Algebraic Fractions
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
Simplify the expression (25x² − 64)/(5x² − 13x − 6) × (x² − 8x + 15)/(5x + 8) − (x − 7) into one fraction in simplest form, showing algebraic working.
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Solution · 4 marks
- 1Factorise: (5x − 8)(5x + 8), (5x + 2)(x − 3) and (x − 5)(x − 3)
- 2Cancel (5x + 8) and (x − 3): (5x − 8)(x − 5)/(5x + 2) − (x − 7)
- 3Common denominator: [(5x − 8)(x − 5) − (x − 7)(5x + 2)]/(5x + 2)
- 4Numerator: (5x² − 33x + 40) − (5x² − 33x − 14) = 54
- 554/(5x + 2)
Answer54 / (5x + 2)
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