Evaluate: {(28)3 + (-15)3 + (-13)3}.
We have,
[(28)3 + (-15)3 + (-13)3]
Now putting a = 28, b = - 15 and c = - 13
Now, a + b + c = 28 – 15 – 13
= 28 – 28
= 0
So, x3 + y3 + z3 = 3xyz
(28)3 + (-15)3 + (-13)3 = 3 × (28) × (-15) × (-13)
= 84 × 195
= 16380