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

Follow us
Email subscription
Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers. Know more
Follow us on Social Media
Mobile App for Android users
###### Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

Learn more