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Evaluate the following using suitable i...

Evaluate the following using suitable identities:`(i) (99)^(3) \ (ii) (102)^3 \ (iii)(998)^3`

Text Solution

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Here, we will use the following for formulas: `(x+y)^3 = x^3+y^3+3xy(x+y)` and
`(x-y)^3 = x^3-y^3-3xy(x-y)`

(i) `(99)^2 = (100-1)^2`
`=100^2+1^2-2*100*1 = 10000+1-200 = 9801`

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