classmate Data Page Expand cube of ga cusing the expansion formula. expand cube of 99 by using the expansion formula
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Step-by-step explanation:
Correct option is
A
970299
We have,
(99)
3
=(100−1)
3
We know that
(a−b)
3
=a
3
−b
3
−3ab(a−b)
Therefore,
=(100)
3
−1
3
−3×100×1×(100−1)
=1000000−1−300(100−1)
=1000000−1−30000+300
=970299
Hence, this is the answer.
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