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 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