An algebra problem by Aareyan Manzoor

Algebra Level 3

which of these are equal to \( \frac{1}{n^2(n+1)}+\frac{1}{n(n+1)^2}\)

i) \( \frac{1}{n^2(n-1)^2}+\frac{2}{n(n-1)^2}\)
ii) \(\frac{1}{n^2(n+1)^2}+\frac{2}{n(n+1)^2}\)
iii) \(\frac{1}{n^2)}-\frac{1}{n+1)^2}\)
Iv)\( (\frac {1}{n+1} +\frac{1}{n})(\frac{1}{n}-\frac{1}{n+1})\)

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