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.
II. 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 $k^{16} - \frac{1}{k^{16}}$
Answer & explanation
Correct answer: option 3
A detailed explanation for this question is coming soon.