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Question

Find the value for (998)3

A
938538392
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B
940234942
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C
994011992
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D
991029942
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Solution

The correct option is B 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,(ab)3=(a)3(b)33a2b+3ab2 .
Thus, (10002)3
=(1000)3(2)33(1000)2(2)+3(1000)(2)2
=994011992

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