Find the value for ${(998)}^{3}$

938538392

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940234942

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994011992

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991029942

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Solution

The correct option is C 994011992
To find the cube of 998, we must split 998 into 2 numbers whose cubes are easy to calculate.
Hence, we write 998 as 1000 - 2.
Now, ${(a - b)}^{3} = {(a)}^{3} - {(b)}^{3} - 3 a^{2} b + 3 a b^{2}$ .
Thus, ${(1000 - 2)}^{3}$
$= {(1000)}^{3} - {(2)}^{3} - 3 {(1000)}^{2} (2) + 3 (1000) {(2)}^{2}$
$= 994011992$

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Find the value for ${(998)}^{3}$ .

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${(998)}^{3}$ [2 MARKS]

Evaluate the following using suitable identities:
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