Algebraic Identities

From your earlier classes, you may recall that an algebraic identity is an algebraic equation that is true for all values of the variables occurring in it. You have studied the following algebraic identities in earlier classes:
Identity I: (x + y)2   = x2 + 2xy + y2
Identity II: (x – y)2  = x2 – 2xy + y2
Identity III: x2 – y2 = (x + y) (x – y)
Identity IV: (x + a) (x + b) = x2   + (a + b)x + ab
You must have also used some of these algebraic identities to factorise the algebraic expressions. You can also see their utility in computations.