Question

Using suitable identity evaluate (99)cube​

Answer 1

Answer:

Correct option is

A

970299

We have,

(99)3

=(100−1)3

 

We know that

(a−b)3=a3−b3−3ab(a−b)

 

Therefore,

=(100)3−13−3×100×1×(100−1)

=1000000−1−300(100−1)

=1000000−1−30000+300

=970299

 

Hence, this is the answer.