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प्रश्न
Evaluate of the following:
(9.9)3
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उत्तर
In the given problem, we have to find the value of numbers
Given (9.9)3
In order to find (9.9)3 we are using identity `(a-b)^3 = a^3 - b^3 - 3ab(a-b)`
We can write (9.9)3 as `(10-0.1)^3`
Hence where a = 10,b = 0.1
`(9.9)^3 = (10 - 0.1)^3`
` = (10)^3 - (0.1)^3 - 3(10)(0.1)(10 - 0.1)`
` = 1000 - 0.001 - 3 xx 9.9`
` = 1000 - 0.001 - 29.7`
` = 1000 - 29.701`
` = 970.299`
The value of (9.9)3 is 970.299.
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