Question
Evaluate the following using suitable identities:
(998)3
Solution
(998)3
(998)3 = (1000 - 2)3
= (1000)3 - (2)2 - 3( 1000)(2)( 1000 - 2)
| Using Identity VII
= 1000000000 - 8 - 6000(1000 - 2)
= 1000000000 - 8 - 6000000 + 12000
= 994011992.