Question
Evaluate:
(99)3
(99)3
✓
Answer
(99)3
= (100 - 1)3
= (100)3 - (1)3 - 3(100)2 × (1) + 3(100)(1)2
= 1000000 - 1 - 30000 + 300
= 1000300 - 30001
= 970299
= (100 - 1)3
= (100)3 - (1)3 - 3(100)2 × (1) + 3(100)(1)2
= 1000000 - 1 - 30000 + 300
= 1000300 - 30001
= 970299
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