Expressions and Terms

The sign and letters denoting numbers are known as algebarical Symbols and collection of such symbols is called an algebraical expression or simply an expression.

In an expression the parts connected by the signs 


 

A term may be the product of two or more factors. For instance 5xy is the product of three factors 5,x and y.The numerical factor is called the numerical coefficient of the product.Here In 5xy,5 is the numerical co efficient of the product.


 

If we consider y as the term then the coefficient is 5x.A coefficient involving letters is called a literal coefficient.

 

The coefficient 1 is always omitted so that x means 1x.

 

Terms that consist of the same letter or same combination of letters are called like terms.

E.g. 5a and 4a,3xy and 4xy.


Terms that do not consist of the same letter or same combination of letters are called unlike terms.

E.g. 5m and 4n ,7xy and 8mn.

 

Expressions are either simple or compound.

A simple expression consist of one term is called monomial. 

E.g. 4m

 


A compound expression having more than three terms is called multinomial or polynomial.

 

The operations of addition and subtraction in Algebra may be performed in any order as in Arithmetic.

Care must be taken to move the sign before any term along with the term.

E.g.  5a - 7a + 8a = 5a + 8a -7a = 13a - 7a = 6a


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