Step-by-step explanation:
Correction:
Evaluate (99)^3 using suitable identities.
Solution:
(99)^3 = (100 - 1)^3
since, (a - b)^2 = a^3 - b^3 - 3ab (a-b)
Where,
Now,
(99)^3
=> (100)^3 - (1)^3 - 3(100)(1)(100 - 1)
=> 1000000 - 1 - 3(100)(100 - 1)
=> 1000000 - 1 - 300 (99)
=> 1000000 - 1 - 29700
=> 970299 Ans.
