Question

evaluate (99)^3 using appropriate identity?

Answer 1

Answer:

970299

Step-by-step explanation:

We have,

(99)

3

=(100−1)

3

We know that

(a−b)

3

=a

3

−b

3

−3ab(a−b)

Therefore,

=(100)

3

−1

3

−3×100×1×(100−1)

=1000000−1−300(100−1)

=1000000−1−30000+300

=970299