**Objective**

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

**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.

**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 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