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

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

A

`(x+sqrt(2))/(2sqrt(2)(x^(2)+sqrt(2)x-1))+(sqrt(2)-x)/(2sqrt(2)(x^(2)+sqrt(2)x-1))`

B

`(x+sqrt(2))/(2sqrt(2)(x^(2)+sqrt(2)x+1))+(sqrt(2)-x)/(2sqrt(2)(x^(2)-sqrt(2)x+1))`

C

`(x+sqr(2))/(2sqrt(2)(x^(2)+sqrt(2)x-1))+(sqrt(2)-x)/(2sqrt(2)(x^(2)-sqrt(2)x+1))`

D

`(x+sqrt(2))/(2sqrt(2)(x^(2)-sqrt(2)x+1))+(sqrt(2)-x)/(2sqrt(2)(x^(2)-sqrt(2)x+1))`

Text Solution

Verified by Experts

The correct Answer is:
B
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