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NIELIT 2019 Feb Scientist C - Section D: 15

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The simplified form of $\left[ \left ( \left( \dfrac{a+1}{a-1}\right)^2+3 \right)\div \left( \left( \dfrac{a-1}{a+1}\right)^2+3\right) \right] \div \left [\left( \dfrac{a^{3}+1}{a^{3}-1}\right)-\dfrac{2a}{a-1} \right]$ is:

  1. $a-1$
  2. $1-a$
  3. $-1$
  4. $1$
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