0580/23 Oct/Nov 2021, Question 25: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
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The question, in short
Simplify the algebraic fraction (3x² − 18x)/(ax − 6a + 2cx − 12c), showing the factorisation needed to cancel common factors.
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Solution · 4 marks
- 1Numerator: 3x² − 18x = 3x(x − 6)
- 2Denominator: a(x − 6) + 2c(x − 6) = (x − 6)(a + 2c)
- 3Cancel (x − 6)
- 4= 3x/(a + 2c)
Answer3x/(a + 2c)
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Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 25.
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