Math Doubts

${(a+b+c)}^2$ formula

Formula

${(a+b+c)}^2$ $=$ $a^2+b^2+c^2$ $+$ $2ab+2bc+2ca$

It is called $a+b+c$ whole square formula and read as $a$ plus $b$ plus $c$ whole square. It is mainly used to expand the square of sum of three terms in terms of them.

Proof

The $a+b+c$ whole square algebraic formula can be derived in two distinct mathematical approaches.

Algebraic Method

The expansion of $a+b+c$ whole square is derived in algebraic form by the multiplication of algebraic expressions.

Geometrical Method

On the basis of areas of square and rectangle, the $a$ plus $b$ plus $c$ whole square algebraic identity is derived in mathematical form geometrically.

Math Doubts

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

Maths Topics

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

Maths Problems

A math help place with list of solved problems with answers and worksheets on every concept for your practice.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved