Question

without actually calculating the cubic, evaluate: (24)^3-(13)^3-(11)^3​

Answer 1

if, a+b+c = 0

then, a^3 + b^3 + c^3 = 3abc

so,. 24-13-11=0

24^3 - 13^3 - 11^3 = 3(24)(-13)(-11)

=10296