Which one among the following is indicated by the following, figure ?

The figure (implied by the context of algebraic identities) represents the geometric proof of the binomial expansion (a + b)" = a" + 2ab + b". Geometrically, this identity is visualized by a large square with side length (a + b), which has a total area of (a + b)". This large square is partitioned into four smaller regions: one square with area a", another square with area b", and two identical rectangles each with area ab . Summing these individual areas yields the total area a" + 2ab + b". This algebraic identity is a fundamental principle used to find the square of the sum of two numbers . While other options represent geometric series or basic inequalities , the standard 'figure' associated with such binomial expressions in mathematics textbooks is the area-based square decomposition for (a + b)".

Sources

1. [1] Macroeconomics (NCERT class XII 2025 ed.) > Chapter 3: Money and Banking > The Sum of an Infinite Geometric Series > p. 51