Question

evaluate (99)3 by using suitable identity ​

Answer 1

Answer:

(a-b)³= a³-b³-3ab(a-b)

(99)³=(100-1)³

(99)³=1000000-1-300(100-1)

(99)³=1000000-1-29700

(99)³=970299

Answer 2

Given : (99)³

To find : Evaluation of (99)³ by using suitable identity.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to evaluate the given term using suitable identity)

In this case, we have to use suitable identities instead of manual calculations.

So,

= (99)³

= (100 - 1)³

= (100)³ - (1)³ - (3 × 100 × 1) × (100 - 1)

= 1000000 - 1 - (300 × 99)

= 1000000 - 1 - 29700

= 970299

(This will be considered as the final result of the given mathematical problem.)

Used identity :

• (a-b)³ = a³-b³-3ab(a-b)

Hence, the value of (99)³ is 970299