Expansions Summary


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  • (a + b)2 = a2 + 2ab + b2
  • (a + b)2 = a2 + 2ab + b2

(a - b)2 = a2 - 2ab + b2

  • In the above two formulae

the middle term =

  • (a + b) (a - b) = a2 - b2
  • (x + a) (x + b) = x2 + (a + b)x + ab.
  • (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
  • (a + b)3 = a3 + b3 + 3ab (a + b) = a3 + 3a2b + 3ab2 + b3
(a - b)3 = a3 - b3 - 3ab (a - b) = a3 - 3a2b + 3ab2 - b3


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