| Algebra is an important branch of pure mathematics similar to that of geometry, analysis, number theory, topology and combinatory which is mainly concerned with the study of rules pertaining to the relations and operations, in order to manipulate the formulae and algebraic expression which involve various real or complex numbers. It includes terms, polynomials, equations and algebraic structures. The various categories that are included in algebra are elementary algebra, abstract algebra, linear algebra, algebraic number theory, algebraic geometry etc. Algebra is a broader concept and studies the results due to the application of different rules of operation. Generalization of addition and multiplication and their precise definition results into structures such as fields, rings and groups. In algebra, the effects of addition and multiplication of numbers, polynomials and variables together with their factorization have been studied.
The various topics that are studied in algebra are linear equations, HCF and LCM, quadratic equations, rational expressions etc. Algebra is a very difficult subject to study, as it involves lots of calculations in terms of addition and subtraction, expression of various equations etc. Hence, complete knowledge pertaining to the mathematical concepts is essential, in order to effectively deal with the subject.
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