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, 3x2-2xy+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:
An algebraic identity is an equality that holds for any values of its variables. For example, the identity (a + b)2 = a2 + 2ab + b2, (a – b)2 = a2 – 2ab + b2, (a + b) (a – b) = a2 – b2 and (x + a) (x + b) = x2 + (a + b) x + ab holds for all values of a and b.