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Question
Evaluate of the following:
1043 + 963
Solution
In the given problem, we have to find the value of numbers
Given 1043 + 963
We can write 1043 + 963 as `(100 + 4)^3 + (100 - 4)^3`
We shall use the identity `(a+b)^3 + (a-b)^3 = 2 [a^3 + 3ab^2]`
Here a= 100 , b = 4
\[{104}^3 + {96}^3 = \left( 100 + 4 \right)^3 + \left( 100 - 4 \right)^3\]
`= 2 [100^3 + 3 (100)(4)^2]`
` = 2 [1000000 + 300 xx 16]`
` = 2 [1000000 +4800]`
` = 2 [1004800]`
` = 2009600`
Hence the value of `104^3 + 96^3`is 2009600.
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