Math, asked by jithinjoseph2751, 7 months ago

Evaluate (99)(99)(99) using suitable identities

Answers

Answered by roshankaran871
28

Answer:

The Correct Answer is

970299

Step-by-step explanation:

Given,

99 \times 99 \times 99 = 99 {}^{3}  \\  = (100 - 1) {}^{3}  \\  Using \: Identity \: (a-b)  {}^{3} = a {}^{3}   - b {}^{3}  - 3xy(x - y) \\ Therefore  \: (100 - 1) {}^{3}  = 100 {}^{3}  - 1 {}^{3}  - 3(100)(1)(100 - 1) \\  = 1000000 - 1 - 300(99) \\  = 999999-29700 \\ =  997029

Hope this will help you!

Answered by Anonymous
7

997029. is your answer...✌✌

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