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2022 EOY ACSI P1 Q5

2022 EOY ACSI P1 Q5

IP 2
7 marks

Simplify the following, giving your answer as a single fraction in the simplest form.

  1. \( \left(2x - \frac{8}{x} \right) \div \left(1 - \frac{2}{x} \right) \),

    [3]

  2. \( \frac{1}{2d + 3e} + \frac{4d}{9e^2 - 4d^2} - \frac{2}{3e - 2d}\).

    [4]

Solution:

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Answer:(a) \(2(x+2)\), \(x\ne0,2\). (b) \(-\frac{1}{3e-2d}\), \(3e+2d\ne0\) and \(3e-2d\ne0\).

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