Question

Evaluate (99)^3 by suitable identity​

Answer 1

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(a-b)³= a³-b³-3ab(a-b)

(99)³=(100-1)³

(99)³=1000000-1-300(100-1)

(99)³=1000000-1-29700

(99)³=970299

Answer 2

Answer:

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Given that,

Evaluate (99)³ .

This can be written as (100 - 1)³ .

Therefore, it is in the form of (a - b)³ = a³ - b³ - 3ab (a - b)

• a = 100 & b = 1

➡ (100)³ - (1)³ -3(100) (1) [ 100 - 1 ]

➡ 1000000 - 1 - 300 [ 99 ]

➡ 1000000 - 1 - 29700

➡ 970,299

Hence the value of (99)³ = 970,299

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Step-by-step explanation:

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