Question

Solve using identity: ( 997)³​

Answer 1

Answer:

Given :

To find the value of 997³ using suitable identity

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Suitable identity : (a - b)³ = a³ - 3ab(a - b) - b³

a = 1,000

b = 3,..

⇒ (1,000 - 3)³ = (1,000)³ - 3(1,000)(3)(1,000 - 3) - (3)³

⇒ (1,000 - 3)³ = 1,000,000,000 - 9,000(997) - 27

⇒ (1,000 - 3)³ = 1,000,000,000 - 8,973,000 - 27

⇒ (1,000 - 3)³ = 991,027,000 - 27

⇒ (997)³ = 991,026,973

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