#### Answer

An algebraic expression is the combination of variables and numbers connected with the algebraic operation.

#### Work Step by Step

An algebraic expression is the combination of variables and numbers connected with the algebraic operation (addition, subtraction multiplication, division and power or roots).
Examples:
(a) \[x+y+56\]
(b) \[{{y}^{2}}+5y+\sqrt{y}\]
An algebraic expression contains terms, coefficient, factors, like terms, constant etc.
Consider an example of an algebraic expression,
(1) \[9{{x}^{2}}+5y+2{{x}^{2}}+4\]
The terms of an algebraic are those parts that are connected by addition.
In the above algebraic expression \[9{{x}^{2}},5y,2{{x}^{2}},4\]are terms.
The numerical value that multiplied with the variable is called the coefficient.
In the above algebraic expression \[9,5,2\] are the coefficient of \[{{x}^{2}},y,{{x}^{2}}\] respectively.
Factor of an expression includes every variable, their product and the number that divide the expression completely.
In the above algebraic expression, the factor of the term \[9{{x}^{2}}\]are \[x,{{x}^{2}},9,9x,9{{x}^{2}}\].
Like terms are the expression that contain same variable and have same power.
In the above algebraic expression, \[9{{x}^{2}}\] and \[2{{x}^{2}}\]are the like terms.