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• Cube of sum

Formula

${(x+y)}^3$ $\,=\,$ $x^3+y^3+3xy(x+y)$

Introduction

$x+y$ is a binomial in which $x$ and $y$ are two terms. In mathematics, the cube of sum of two terms is expressed as the cube of binomial $x+y$. It is read as $x$ plus $y$ whole cube. It is mainly used in mathematics as a formula for expanding cube of sum of any two terms in their terms.

${(x+y)}^3$ $\,=\,$ $x^3+y^3+3x^2y+3xy^2$

Proofs

The cube of $x$ plus $y$ identity can be proved in two different mathematical approaches.

Algebraic method

Learn how to derive the expansion of cube of $x$ plus $y$ identity by the product of three same addition basis binomials.

Geometric method

Learn how to derive the expansion of $x$ plus $y$ whole cube identity geometrically on the basis of volume of a cube.

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.

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