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Question
Evaluate of the following:
(99)3
Solution
In the given problem, we have to find the value of numbers
Given (99)3
In order to find (99)3 we are using identity `(a-b)^3 = a^3 - b^3 - 3ab (a-b)`
We can write (99)3 as `(100 - 1)^3`
Hence where a= 100,b =1
(99)3 ` = (100 - 1)^3`
`= (100)^3 - (1)^3 - 3 (100)(1)(100 - 1)`
`= 1000000 - 1 - 300 xx 99`
`= 1000000 - 1 - 29700`
`= 1000000 - 29701`
` = 970299`
The value of (99)3 is 970299 .
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