Question 69

Which of the following statement is correct?
I. The value of $$100^{2} - 99^{2} + 98^{2} - 97^{2} + 96^{2} - 95^{2} + 94^{2} - 93^{2} + ...... + 22^{2} - 21^{2}$$ is 4840.
The value of
$$\left(k^{2} + \frac{1}{k^{2}}\right)\left(k - \frac{1}{k}\right)\left(k^{4} + \frac{1}{k^{4}}\right)\left(k+ \frac{1}{k}\right)\left(k^{4} - \frac{1}{k^{4}}\right)$$ is $$k^{16} - \frac{1}{k^{16}}$$


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