4.0k views
4 votes
Evalute 99³ using identity​

User Jarnojr
by
3.6k points

1 Answer

0 votes

Answer:

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

User Geir Sagberg
by
4.1k points