Algebraic Identity (a³ - b³)


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


Algebraic Identity

  • Algebra is a mathematical concept that helps people visualize difficult situations by utilizing mathematical equations.
  • It employs variables such as x, y, and z and arithmetic calculations such as addition, elimination, multiplying, and division to produce a coherent mathematical assertion.
  • A mathematical and algebraic principle expressed as an equation is an algebraic equation. It’s a two-sided problem on both ends containing formulas.
  • 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


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



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