Question

what are algebraic identities

Answer 1

In maths identity is an equality relation A=B,sch that A and B contains some variable and A and B produce same values as each other regardless of what values (usually numbers) are substituted for the variables.In other words A=B is an identity, if A and B define the same functions.
Some of the Identities are:
                               (a+b) (a-b)=a^2-b^2
                                (a+b)^2=a^2+b^2+2ab
                                (a-b)^2=a^2+b^2-2ab
                               (x+a)(x+b)=x^2+(a+b)x+ab

Answer 2

an equation is only true for certain values of the variables and need not be true for all values of the variables. if it is true for all values of the variables in it , then only it is called an identity

some algebraic identities r:
                                      (a+b)^2=a^2+b^2+2ab
                                      (a-b)^2=a^2+b^2-2ab
                                      (a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
                                      (x+a)(x+b)=x^2+(a+b)x+ab
                                      a^2+b^2=(a+b)(a-b)
                                      a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)
                                      (a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
                                      (a-b)^3=a^3-b^3-3ab(a-b)
                                      (a+b)^3=a^3+b^3+3ab(a+b)
                                      a^3+b^3=(a+b)(a^2+b^2-ab)[derived formula]
                                      a^3-b^3=(a-b)(a^2+b^2+ab)[derived formula]
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