Without actually calculating the cubes, find the value of each of the following:
(i)
(ii)
Solution (i)
We need to find value of
We have an identity:
In this problem, we have
and
. It means that
, putting these values in the above identity, we get
Solution (ii)
We need to find value of
We have an identity:
In this problem, we have
and
. It means that
, putting these values in the above identity, we get
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