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Monday, 20 February 2012

Basic Formulae of Algebra

  1. (a + b)2 = a2 + b2 + 2ab                  
  2. (a - b)2 = a2 + b2 - 2ab
  3. (a + b)2 - (a - b)2 = 4ab                      
  4. (a + b)2 + (a - b)2 = 2 (a2 + b2)
  5. (a2 - b2) = (a + b) (a - b)
  6. (a + b + c)2 = a2 + b2 + c2 + 2 (ab + bc + ca)
  7. (a3 + b3) = (a +b) (a2 - ab + b2)       
  8. (a3 - b3) = (a - b) (a2 + ab + b2)
  9. (a3 + b3 + c3 - 3abc) = (a + b + c) (a2 + b2 + c2 - ab - bc - ca)
  10. If a + b + c = 0, then a3 + b3 + c3 = 3abc                                                                                                                                                                                               Next
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