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Question
Evaluate of the following:
933 − 1073
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Solution
In the given problem, we have to find the value of numbers
Given 933 − 1073
We can write 933 − 1073 as `(100 - 7)^3 - (100 + 7)^3`
We shall use the identity `(a-b)^3 - (a+b)^3 = -2 [b^3 + 3a^2b]`
Here a=100,b =7
933 − 1073 ` = (100-7)^3 - (100+ 7)^3`
` = -2 [7^3 + 3 (7) (100)^2]`
` = -2[343 + 21 xx 10000]`
` = -2[343 + 210000]`
` = -2[210343]`
` = - 420686`
Hence the value of 933 − 1073 is -420686.
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