Today our topic of discussion is Algebraic Expression of Mathmatics.
Algebraic Expression of Mathmatics
Algebraic Expressions
Algebraic formulae are used to solve many algebraic problems. Moreover, many algebraic expressions are presented by resolving them into factors. That is why the problem solved by algebraic formulae and the contents of resolving expressions into factors by making suitable for the students have been presented in this chapter.
Moreover, different types of mathematical problems can be solved by resolving into factors with the help of algebraic formulae. In the previous class, algebraic formulae and their related corollaries have been discussed elaborately. In this chapter, those are reiterated and some of their applications are presented through examples.
Besides, extension of the formulae of square and cube, resolution into factors using remainder theorem and formation of algebraic formulae and their applications in solving practical problems have been discussed here in detail.
At the end of the chapter, the students will be able to –
‣ expand the formulae of square and cube by applying algebraic formulae.
‣ explain the remainder theorem and resolve into factors by applying the theorem.
‣ form algebraic formulae for solving real life problems and solve the problems by applying the formulae.
Algebraic Expressions
Meaningful organization of operational signs and numerical letter symbols is called Algebraic- Expressions. Such as, 2a+3b-4c is an algebraic expression. In algebraic expression, different types of information are expressed through the letters a, b, c, p, q, r, m, n, x, y, z,… etc.
These alphabet are used to solve different types of problems related to algebraic-expressions. In arithmetic, only positive numbers are used, where as, in algebra, both positive and negative numbers including zero are used. Algebra is the generalization of arithmetic.
The numbers used in algebraic-expressions are constants, their values are fixed. The letter symbols used in algebraic expressions are variables, their values are not fixed, they can be of any value.
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