Algebraic Identity (a+b+c)²

Objective

To verify the algebraic identity (a + b + c)²= a² + b² + c² + 2ab + 2bc + 2ca.

 

Algebraic Identity

  • An Algebraic identity is 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 in solving different polynomials.
  • Algebraic identities are also used for the factorization of polynomials.

Prerequisite Knowledge

 

Square

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

A rectangle is a quadrilateral with four right angles and opposite sides 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