Summary – Standard Algebraic Identities
Algebraic identities are equations that hold true for all values of the variables involved, making them crucial tools in mathematics. They facilitate the factorization of polynomials and simplify the computation of algebraic expressions. Derived primarily from the Binomial Theorem, standard algebraic identities include expressions like (a + b)2 = a2 + b2 + 2ab and (a – b)2 = a2 + b2 – 2ab. These identities are instrumental in solving various polynomial equations and verifying mathematical expressions by ensuring the left-hand side (LHS) equals the right-hand side (RHS). Understanding and applying these identities is essential for efficiently tackling algebraic problems.
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