**In Mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).**

For example, 3x^{2}-2xy+c is an algebraic expression. Since taking the square root is the same as raising to a power.

There are 3 main types of algebraic expressions which include:

- Monomial Expression.
- Binomial Expression.
- Polynomial Expression.

An algebraic identity is an equality that holds for any values of its variables. For example, the identity (a + b)^{2} = a^{2} + 2ab + b^{2}, (a – b)^{2} = a^{2} – 2ab + b^{2}, (a + b) (a – b) = a^{2} – b^{2} and (x + a) (x + b) = x^{2} + (a + b) x + ab holds for all values of a and b.