Algebraic Expressions, Identities and Formulae

Algebraic Expressions, Identities and Formulae

IP 2
8 marks
  1. Simplify \(\dfrac{40 a^2 b c}{180 a c^2}\).

    [1]
  2. Expand \((2 x-3)(5+x)\).

    [2]
  3. Given that \((m+2 n)^2=28\) and \(m^2+4 n^2=12\), find the value of \(-8 m n\).

    [2]
  4. Simplify the following as a single fraction in its simplest form.\[ \frac{2 x}{(x-5)(x+1)}+\frac{1}{5-x} \]

    [3]

Solution:

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Answer:(a) \(\frac{2ab}{9c}\) (b) \(2x^2+7x-15\) (c) \(-32\) (d) \(\frac{x-1}{(x-5)(x+1)}\)

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