it is terms of an expression now to make you understand this let me take one simple example what is the term town is separate entities when combined together they form an expression so here if you can see that this 4 X square which are which can be separately made by for multiplying with X multiplying with it X again and this minus 3xy which can be separately formed by doing a product of X Y and then again multiplying with minus 3 so these separate entities are known as term so what is the terms terms of an expression are separate entities when combined they form an expression so here in the example for X square minus 3 XY for X square is 1 term and minus 3 XY is another term then they combine with an addition rule they form expression now please note that terms are always added to form an expression so here minus 3 XY will be a part of top so when 4 X square is added to minus 3 XY we get an expression as or X square minus 3 XY so please note that there is always an addition rule or addition operation when we combine terms with each other to form an expression now there is one more thing then what is factors factors is the term how the term is formed or factored in the variable and constants to form earth talk let's say in the example for x-squared term the factors are for X and X they combine together to form the term for X square so here for X and X become the factors 4 for X square it make it more clear let us take one example so you can first tell me what are the terms so the terms here are Phi XY + 10 Y have taken minus 10 with the rule that terms are always having an addition operation now I put a dotted line here for factors to make it a little clearer to found this town with the help of constants and variables I need this X Y which are two variables in this pipe a constant to form this variable Phi X Y so here PI x + y becomes the factors of this term so this I hope is clear - let me explain take one more example and explain to you this is the right time to pause if you want to try on your own so here the terms are 4y square and the factor is for y and y so 4 is the numeric or a constant and Y is a variable I hope this is clear - now there is one more terminology to be understood here this numeric constant present in the term is known as numerical coefficient so whenever there is a numeric constant present let us take the previous example here in the previous example 5 is the numeric constant presence in the term by X Y so this numeric constant becomes a numerical coefficient for the term by X Y same way in this 4x squared - 3 X Y the terms are 4 X square and minus 3 XY here are the 4 and minus 3 becomes a numerical coefficient in a generic term coefficient can be a numerical factor or an algebraic factor or product of two or more factors so this we talked about a numerical coefficient but in a generic term what is coefficient coefficient can be a numerical coefficient it can be your algebraic factor or it can be product of two or more factors so give an example for this let us take in term P 10 XY square here if I want to find the numerical coefficient it could be 10 but what is a coefficient I can say 10 is the coefficient for X Y square same way I can say X is in coefficient form then Y square I can say Y squared is a coefficient for Ted X so I hope I have given you a clear example how coefficients are defined let me take one more example to help you understand the coefficient you can take a pause if you want to solve this on your own here five is the coefficient for X square y un say Phi is also a neuticle coefficient X square is a coefficient for Phi Y and Y is the coefficient for by X square I hope the session which describes how the expressions are formed what is the term factor and coefficient is clear to you in the next session we'll be talking more about what is like and unlike terms and then how these expressions are the binomial trinomial expressions are formed for now thank you
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