Question

Solve this equation geometrically (a+b)sq=asq + bsq +2ab

Answer 1

Area of the largest square

= Area of square1 + Area of rectangle2
+Area of rectangle3 + Area of square4

$= {a}^{2} + ab + ab + {b}^{2} \\ = {a}^{2} + 2ab + {b}^{2}$
But Area of the largest square

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