Question

Please solve this question

Answer 1

D

Explanation:

x^4/(x^4 - 1) =

= (x^4 - 1 + 1)/(x^4 - 1)

= (x^4 - 1)/(x^4 - 1) + 1/(x^4 - 1)

= 1 + 1/(x^4 - 1)

= 1 + 1/[(x + 1)(x - 1)(x + 2)²]

= 1 + A/(x + 1) + B/(x - 1) + (Cx + D)/(x + 2)²

Answer: D