Question

How to write geometrical figures for identities

Answer 1

Obtaining the a+b whole square formula



The area of a square in this example is considered as (a+b)2(a+b)2.

The same square is split as two small distinct squares and two small same rectangles. The sum of areas of two small squares and two small rectangles is a2+b2+2aba2+b2+2ab.

Actually, a square is divided as two small different squares and two small same rectangles. Hence, the area of a square should be equal to the sum of the areas of two small squares and two small rectangles.

∴∴ (a+b)2(a+b)2 == a2+b2+2aba2+b2+2ab

Geometrically, it is proved that square of a+ba+b can be expanded as aa squared plus bbsquared plus 2ab2ab.