Algebraic Identities
Algebraic Identities are the expansion of terms of algebraic terms given as whole square or whole cube generally. These expansions help us to quickly solve the problems.
Some of the commonly used algebraic identities are mentioned below:
- (a + b)2 = a2 + 2ab +b2
- (a – b)2 = a2 – 2ab + b2
- a2 – b2 = (a + b)(a – b)
- (a + b)3 = a3 + b3 + 3a2b + 3ab2
- (a – b)3 = a3 – b3 – 3a2b + 3ab2
Algebra in Math: Definition, Branches, Basics and Examples
Algebra is the branch of mathematics that deals with symbols and the rules for manipulating these symbols. It is a unifying thread of almost all of mathematics and includes everything from solving elementary equations to studying abstractions such as groups, rings, and fields.
It helps represent problems or situations in the form of mathematical expressions. It is different from Arithmetic as Arithmetic deals with specific numbers and simple operations such as addition and subtraction. Algebra, on the other hand, introduces more complex operations and includes the use of variables, equations, and functions.
Table of Content
- What is Algebra
- Algebra Branches
- Algebraic Expressions with Examples
- Algebraic Equations
- Linear Equation
- Polynomial
- Sequence and Series
- Set Theory
- Vectors
- Relations and Functions
- Matrices and Determinants
- Exponential & Logarithmic functions
- Algebra Formula
- Algebraic Operations
- Algebraic Laws
- Algebraic Identities