Give me a list of all the algebraic identities? Also the conditional identity.
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( a+b )2 = a2 + 2ab +b2
( a-b)2 = a2 - 2ab + b2
(a+b) (a-b) = a2-b2
(x+a) (x+b) = x2 + (a+b)x + ab
(a+b+c)2 = a2 + b2 +c2 +2ab + 2bc + 2ca
(a-b)2 = a2 - b2 - 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)
a3+b3+c3-3abc = (a+b+c)(a2+b2+c2-ab-bc-ca)
Conditional Identity
If a+b+c = 0
Then a3+b3+c3 = 3abc