Question

without actually finding the cubes find the value of (1/2)^3+(1/3)^3-(5/6)^3

Answer 1

Ans
.
.
1/2+1/3-5/6=0

Answer 2

We can see that 1/2 + 1/3 + (-5/6) = 0
We can use identity a^3 + b^3 + c^3 = 3abc

=> 3 × 1/2 × 1/3 × 5/6
=> 5/12