Question

2. Verification of a3+b3=(a+b)(a2+b2-ab)

Answer 1

Answer:

To verify the identity a3 + b3 = (a + b) (a2 – ab + b2) geometrically by using sets of unit cubes. A set of 56 cubes each has dimensions (1 x 1 x 1) cubic unit. Cubes may be of wood, plastic, cardboard or thermocol. To verify the identity a3 + b3, we shall take a = 3 units and b = 1 unit.