# ${(a+b)}^2$ Formula

## Formula

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

This is called $a+b$ whole square formula. It is read as the $a$ plus $b$ whole square is equal to $a$ squared plus $b$ squared plus $2ab$. This algebraic identity represents the expansion of the square of the addition of two terms and it is often used in mathematics to expand the square of addition basis binomials.

### Proof

The $a+b$ whole square algebraic identity can be derived in two different mathematical systems.

01

#### Algebraic Method

The square of $a+b$ formula can be expanded by the multiplication of algebraic expressions in the algebraic mathematics.

02

#### Geometrical Method

The expansion of the square of addition of the terms can be derived on the basis of areas of squares and rectangles by the geometrical method.