Question

Evalute 99³ using identity​

Answer 1

970299

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`