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

  • 100

 ( 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)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)

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

  • 33
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