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Formula of Algebra, Algebra Expressions, Identities, Operations

Formula of Algebra

Formula of Algebra: Algebra is a branch of mathematics that deals with number theory, geometry, and analysis. The definition of algebra sometimes states that the study of the mathematical symbols and the rules involves manipulating these mathematical symbols. Algebra includes almost everything right from solving elementary equations to the study of abstractions. Algebra is very important for all competitive exams to solve the maximum number of topics which includes the implications, multiplication, division, subtraction, and addition.

In this article, we are providing you the detailed information on the formula of Algebra, algebra expressions, algebraic identities, algebra calculator, and algebra in maths. Read the detailed article for more information related to the formula of Algebra.

Types of Algebra

The algebra is divided into the following parts which are based on the complexity of algebra which is simplified by the use of numerous algebraic expressions. The branches of algebras are:

  • Pre-algebra: It helps in transforming real-life problems into an algebraic expression in mathematics.
  • Elementary Algebra: Elementary algebra deals with solving the algebraic expressions for a viable answer. In elementary algebra, simple variables like x, and y, are represented in the form of an equation.
  • Abstract Algebra: Abstract algebra deals with the use of abstract concepts like groups, rings, and vectors rather than simple mathematical number systems.
  • Universal Algebra: All the other mathematical forms involving trigonometry, calculus, and coordinate geometry involving algebraic expressions can be called universal algebra

Algebra Expressions

The algebra expression is an expression that is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). There are three types of algebraic expression i.e.

Monomial Expression

An algebraic expression which is having only one term is known as a monomial.

Examples of monomial expressions include 2x4, 4xy, 6x, 8y, etc.

Binomial Expression

A binomial expression is an algebraic expression which is having two terms, which are unlike.

Examples of binomial include 4xy + 9, Xyz + y3, etc.

Polynomial Expression

An expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.

Examples of polynomial expression include ax by ca,  2x3 + 3x + 6, etc.

Algebraic Identities

Algebraic Identities are helpful in solving various expressions using these identities. These formulae involve squares and cubes of algebraic expressions and help in solving the algebraic expressions in some easy steps by using the below formulas.

  • (a + b)2 = a2 + 2ab + b2
  • (a – b)2 = a2 – 2ab + b2
  • (a + b)(a – b) = a2 – b2
  • (a + b + c)= a2 + b2 + c2 + 2ab + 2bc + 2ca
  • (a + b)3 = a3 + 3a2b + 3ab2 + b3
  • (a – b)3 = a3 – 3a2b + 3ab2 – b3

Algebraic Operations

There are four algebraic operations that are mostly used for solving and algebraic expressions. Algebra Calculator mainly solves the following operations.

  • Addition: In addition operation in algebra, two or more expressions are separated by a plus (+) sign between them.
  • Subtraction: In subtraction operation in algebra, two or more expressions are separated by a minus (-) sign between them.
  • Multiplication: In the multiplication operation in algebra, two or more expressions are separated by a multiplication (×) sign between them.
  • Division: In division operation in algebra, two or more expressions are separated by a “/” sign between them.

Formula of Algebra: FAQ

Q. What are the 4 main operations of algebra?

Ans: The four main operations of algebra are addition, subtraction, multiplication, and division.

Q. What are the Different Branches or Types of Algebra?

Ans: There are five different branches or types of algebra which are elementary algebra, abstract algebra, advanced algebra, commutative algebra, and linear algebra.

Formula of Algebra, Expressions, Identities, Operations_50.1


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