Question
Find the value of (21)³ + (- 12) ³ + ( - 9)³.
Solution
(a 3 + b 3 + c 3 ) = 3abc, if (a + b + c) = 0
Here, 21 + ( - 12) + ( - 9) = 21 - 21 = 0
So, (21) 3 + ( - 12) 3 + ( - 9) 3 = 3 X 21 X ( - 12) X ( - 9) = 6,804
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