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Algebraic Techniques, SMB-068

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

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`(3b+5)/(b(b-1)(b+1))`

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

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

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