Standard Algebraic Identities List
All standard Algebraic Identities are derived from the Binomial Theorem. There are a number of algebraic identities but few are standard that are listed below.
- (a + b)2 = a2 + 2ab + b2
- (a – b)2 = a2 + b2 – 2ab
- (a + b)(a – b) = a2 – b2
- (a + b)3=a3 + b3 + 3ab(a + b)
- (a – b)3=a3 – b3 – 3ab(a – b)
- (a + b + c)2=a2 + b2 + c2 + 2ab + 2bc + 2ca
Standard Algebraic Identities
Algebraic Identities are algebraic equations that are always true for every value of the variable in them. The algebraic equations that are valid for all values of variables in them are called algebraic identities.
It is used for the factorization of polynomials. In this way, algebraic identities are used in the computation of algebraic expressions and in solving different polynomials. They contain variable and constant on both the side of polynomial i.e. LHS and RHS. In algebraic identity, LHS must be equal to RHS.
This article provides you with the standard algebraic identities, including their examples, and methods to solve algebraic identities.
Table of Content
- What are Identities?
- Standard Algebraic Identities List
- Methods to Solve Algebraic Identities
- Standard Algebraic Identities Examples
- Standard Algebraic Identities Practice Problems