The difference of any two quantities raised to the power of $2$ is called square of the difference.

In Arithmetic, calculating difference of two numbers and squaring a number are two basic mathematical operations. The combination of both mathematical operations are used in some cases to find the square of difference of them.

$7$ and $4$ are two numbers and letâ€™s calculate the square of the difference of them.

${(7-4)}^2 \,=\, 3^2$

$\implies$ ${(7-4)}^2 \,=\, 3 \times 3$

$\,\,\, \therefore \,\,\,\,\,\,$ ${(7-4)}^2 \,=\, 9$

In this way, we calculate square of the difference of any two numbers in the basic mathematics.

We use terms instead of numbers in advanced mathematics and it is not possible to find the square of the difference of any two terms same as finding the square of difference of two numbers. Therefore, an identity is required in mathematical form for using it as a formula in finding the square of difference of any two terms. The formula for square of difference of terms is written in the following two forms.

$(1) \,\,\,$ ${(a-b)}^2$ $\,=\,$ $a^2+b^2-2ab$

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

Latest Math Topics

Apr 18, 2022

Apr 14, 2022

Apr 05, 2022

Mar 18, 2022

Mar 05, 2022

Latest Math Problems

Apr 06, 2022

Mar 22, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2021 Math Doubts, All Rights Reserved