(998)³,Evaluate it using suitable identites.

1.	(998)³,Evaluate it using suitable identites.
Answer» Solution : Q. (998)³ = (1000 - 2)³ Using IDENTITY: (a - b)³ = a³ - b³ - 3ab (a-b) = (1000)³ - (2)³ - 3(1000) (2) (1000 - 2) = 1000000000 - 8 - 6000(998) = 1000000000 - 8 - 5988000 = 1000000000 - 5988008 = 994011992 ___________________________________ Any problem in UNDERSTANDING the solution, please feel free to ask in the COMMENTS section.

Answer»

Solution :

Q. (998)³ = (1000 - 2)³

Using IDENTITY: (a - b)³ = a³ - b³ - 3ab (a-b)

= (1000)³ - (2)³ - 3(1000) (2) (1000 - 2)

= 1000000000 - 8 - 6000(998)

= 1000000000 - 8 - 5988000

= 1000000000 - 5988008

= 994011992

___________________________________

Any problem in UNDERSTANDING the solution, please feel free to ask in the COMMENTS section.

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(998)³,Evaluate it using suitable identites.

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