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Question
Evaluate of the following:
(598)3
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Solution
In the given problem, we have to find the value of numbers
Given (598)3
In order to find (598)3we are using identity `(a-b)^3 = a^3 - b^3 - 3ab (a-b)`
We can write (598)3 as `(600 - 2)^3`
Hence where a = 600 , b = 2
(598)3 ` = (600 - 2)^3`
` = (600)^3 - (2)^3 - 3(600)(2) (600 - 2)`
` = 216000000 - 8 - 3600 xx 598`
` = 216000000 - 8 - 2152800`
` = 216000000 - 2152808`
` = 213847192`
The value of (598)3 is 213847192.
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