If a = 4.36, b = 2.39 and c = 1.97, then the value of a³ - b³ - c³ - 3abc is?

A. 3.94

B. 2.39

C. 0

D. 1

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & a = 4.36 \cr & b = 2.39 \cr & c = 1.97 \cr & {\text{ }}a - b - c \cr & = 4.36 - 2.39 - 1.97 \cr & = 0 \cr & {\text{ }}{{\text{a}}^3} - {b^3} - {c^3} - 3abc \cr & = \frac{1}{2}\left( {a - b - c} \right)\left[ {{{\left( {a - b} \right)}^2} + {{\left( {b - c} \right)}^2} + {{\left( {c - a} \right)}^2}} \right] \cr & = 0 \cr} $$