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Functions, 2ADV EQ-Bank 06

Simplify  \(\dfrac{x^2}{x^2-2 x-15}-\dfrac{x}{x+3}\).   (2 marks)

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\(\dfrac{5 x}{(x+3)(x-5)}\)

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\(\dfrac{x^2}{x^2-2 x-15}-\dfrac{x}{x+3}\) \(=\dfrac{x^2}{(x+3)(x-5)}-\dfrac{x}{x+3}\)
  \(=\dfrac{x^2-x(x-5)}{(x+3)(x-5)}\)
  \(=\dfrac{x^2-x^2+5 x}{(x+3)(x-5)}\)
  \(=\dfrac{5 x}{(x+3)(x-5)}\)

Filed Under: Algebraic Techniques (Adv-2027) Tagged With: Band 3, smc-6213-10-Algebraic Fractions

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