Answer:
970299
Step-by-step explanation:
We have,
[tex]99^{3}[/tex]
[tex]= (100 - 1)^3[/tex]
We know that,
[tex](a-b)^3 = a^3 - b^3 -3ab (a-b)[/tex]
Therefore,
[tex](100)^3 - 1^3 - 3(100)(1)(100-1)[/tex]
[tex]1000000 - 1 - 300(100-1)[/tex]
[tex]1000000 - 1 - 30000 + 300[/tex]
[tex]=970299[/tex]
