Question

Without actually calculating the cubes evaluate (25)^3+(-19)^3+(-6)^3

Answer 1

Here ,

25 + (-19 ) + ( - 6) = 0

therefore,

(25)^3 + (-19)^3 + (-6)^3 = 3* ( 25 ) *(-19) *( -6 )= 8550 Ans.

Answer 2

If a+b +c = 0
then, a³+b³+ c³ = 3abc
it is the formula.
so,(25)³+(-19)³+(-6)³ = 3× 25×-19×-6
= 8550.