Expansions


   
 
Summary
(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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