An algebraic expression that always has the same value regardless of the value of the variable is called an identity.
An identity, in
mathematics, is a relation between A and B that would result to an equality of
the two. It should be expressed as A = B wherein both values has some variables
that would produce the same value no matter what will be the values used for
the two functions. An example would be
5(2x+3)=9x+15+x
Assuming x would be 1, when we simplify the equation above, both sides would have the same value of 25.
5(2(1)+3)=9(1)+15+1
25 = 25