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Question
Evaluate of the following:
463+343
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Solution
In the given problem, we have to find the value of numbers
Given 463+343
We can write 463+343 as ` (40 + 6)^3 + (40 - 6)^3`
We shall use the identity `(a+b)^3 + (a-b)^3 = 2[a^3 + 3ab^2]`
Here a= 40 , b = 6
\[{46}^3 + {34}^3 = \left( 40 + 6 \right)^3 + \left( 40 - 6 \right)^3\]
` = 2[40^3 + 3(6) (40) ]`
`= [64000+4320]`
`= 2[683220]`
` =136640 `
Hence the value of `46^3 + 34^3 `is 136640.
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