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



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