Algebra Formulas:
(a + b)2 = a2 + b2 + 2ab |
(a – b)2 = a2 + b2 – 2ab |
a2 – b2 = (a + b) (a – b) |
a2 + b2 = (a + b)2 – 2ab or (a – b)2 + 2ab |
(a + b)2 + (a – b)2 = 2 (a2 + b2) |
(a + b)2 – (a – b)2 = 4ab |
(a + b)3 = a3 + b3 + 3ab (a + b) |
(a – b)3 = a3 – b3 – 3ab (a – b) |
a3 + b3 = (a + b) (a2 – ab + b2) |
a3 – b3 = (a – b) (a2 + ab + b2) |
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca |
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca |
a + b + c = (a3 + b3 + c3 – 3abc) / (a2 + b2 + c2 – ab – bc – ca) |
If a + b + c = 0, then a3 + b3 + c3 = 3abc |
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