Question

Without actually calculating the cubes, find the value of (-12) the whole cube+ (7) the whole cube+(5)the whole cube.

Answer 1

(-12)³ +(7)³+(5)³

Let x = -12, y = 7 & z = 5

x + y + z
=-12 + 7 + 5 = 0
Here,
x+y+z=0
We
know that if,
x +y + z = 0,
then x³ + y³ + z³ = 3xyz

(-12)³+ (7)³ + (5)³
=
​3(-12)(7)(5) = -1260

(-12)³+(7)³+(5)³=-1260