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Algebraic Techniques, SMB-069

Factorise the expression  `5/(x^2-1)-3/(x-1)`  (3 marks)

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`(2-3x)/((x-1)(x+1))`

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`5/(x^2-1)-3/(x-1)` `=5/((x+1)(x-1))-3/(x-1)`  
  `=5/((x+1)(x-1))-(3(x+1))/((x+1)(x-1))`  
  `=(5-3(x+1))/((x-1)(x+1))`  
  `=(2-3x)/((x-1)(x+1))`  

Filed Under: Algebraic Fractions Tagged With: num-title-ct-pathc, smc-4356-12-Subtraction

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