- Thread starter debos
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Please elaborate little bit.What happens if you factor out \(2^3\) from the second sum?

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\(\displaystyle S=\sum_{k=1}^{10}\left((2k)^3\right)\)

If we factor, as I suggested, we get:

\(\displaystyle S=2^3\sum_{k=1}^{10}\left(k^3\right)\)

Can you proceed, using the information given in the problem regarding the second factor, which is a sum?

Yes, clear now. Thank you.

\(\displaystyle S=\sum_{k=1}^{10}\left((2k)^3\right)\)

If we factor, as I suggested, we get:

\(\displaystyle S=2^3\sum_{k=1}^{10}\left(k^3\right)\)

Can you proceed, using the information given in the problem regarding the second factor, which is a sum?