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2023 EOY Sec 2 ACSI P1 Q10

2023 EOY Sec 2 ACSI P1 Q10

IP 2
6 marks

Simplify

  1. \(\frac{x^2 + 3x + 2}{2x - 6} \div \frac{4 + 2x}{9 - x^2}\).

    [3]

  2. \(\frac{ \sqrt{25a^4b^2} \times (8b^{-3})^{\frac{1}{3}} }{ (a^{-1})^2}\).

    [3]

Solution:

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Answer:(a) \(-\frac{(x+1)(x+3)}{4}\), \(x\ne3,-3,-2\). (b) \(\frac{10a^4|b|}{b}\), \(a\ne0\), \(b\ne0\).

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