❖ Geometrical Explanation and Derivation of \((a+b)^2=a^2+2ab+b^2\)

\((a + b)^2\) also known as a plus b whole square is a key algebraic identity.

In this lesson, we visualize the formula \((a + b)^2 = a^2 + 2ab + b^2\) using geometry.

The area of a rectangle is calculated by multiplying the lengths of two adjacent sides:

Area of rectangle \(=\) Length \(\times\) Breadth.

We use this concept to geometrically explain \((a – b)^2\) through simple, intuitive drawings.