mahjabenshaikh
mahjabenshaikh mahjabenshaikh
  • 15-06-2021
  • Mathematics
contestada

Evalute 99³ using identity​

Respuesta :

samirakalank samirakalank
  • 15-06-2021

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]

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