# ${(a+b+c)}^2$ 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.

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

###### Maths Topics

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

###### Maths Problems

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

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.