Question : The cube of 997 is:
Option 1: 991026973
Option 2: 991029673
Option 3: 998746523
Option 4: 99102456
Answer (1)
27th Jan, 2024
Correct Answer: 991026973
Solution :
Here, (997)
3
= (1000 – 3)
3
= 1000
3
– 3
3
– 3 × 1000 × 3 × (1000 – 3) [Using the formula (a – b)
3
= a
3
– b
3
– 3ab(a – b)]
= 1000000000 – 27 – 9000(997)
= 991026973
Hence, the correct answer is 991026973.
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