Algebraic Identity (a³ - b³)

Objective

To verify the algebraic identity (a- b3) = (a - b)(a2+ ab + b2)

Algebraic Identity

  • The algebraic equation is a simple and rapid approach to solving algebraic problems.
  • 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 in solving different polynomials
  • Algebraic identities are also used for the factorization of polynomials.

 

Pre-requisite Knowledge

Cube

A cube is a three-dimensional shape having all its sides equal and the faces of the cube are square shape.

Volume of Cube

  • The product of the length of each side itself.

  • Formula: Volume = side3

Cuboid

 

A cuboid is also a three-dimensional shape that has three pairs of equal sides parallel to each other and the faces of the cuboid are all rectangular shape.

Volume of Cuboid

  • The product of its length, breadth, and height

  • Formula: Volume = length x breadth x height