Question

without actually calculating the cubes find the value of (-14) cube+8 cube+6 cube

Answer 1

Hii there!!

Plz refer to the attachment for the solution.

Hope it helps dear....

Answer 2

Let -14 be x, 8 be y and 6 be z
According to the identity.
If x+y+z=0 then
X^3+y^3+z^3=3xyz

X^3+y^3+z^3=3*(-14)*8*6

3*(-14)*8*6=-2016

So the answer is -2016