Algebraic Identity (a - b)²


To verify the algebraic identity (a-b)² = a² - 2ab + b².

Algebraic Identity

  • An algebraic identity is an equality, which is true for all values of the variables in the equality.
  • The algebraic equations which are valid for all values of variables in them are called algebraic identities.
  • In this way, algebraic identities are used in the computation of algebraic expressions and solving different polynomials
  • Algebraic identities are also used for the factorization of polynomials.

Pre-requisite Knowledge


A square is a regular quadrilateral, which means that it has four equal sides and four equal angles of 90 degrees each.

Area of a Square

  • The product of the length of each side itself.
  • Formula: Area = side²


Rectangle is a quadrilateral with four right angles and opposite sides are equal. The length of a rectangle is the size of the longer side, whereas the breadth is the size of the shorter side

Area of a Rectangle

  • The product of its length and breadth
  • Formula: Area = length x breadth