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Resolve (x^(4)+24x^(2)+28)/((x^(2)+1)^(3...

Resolve `(x^(4)+24x^(2)+28)/((x^(2)+1)^(3))` into partial fractions.

A

`1/(x^(2)+1)+22/(x^(2)+1)^(2)+5/(x^(2)+1)^(3)`

B

`1/(x^(2)+1)+22/(x^(2)+1)^(2)-5/(x^(2)+1)^(2)`

C

`1/(x^(2)+1)-22/(x^(2)+1)^(2)-5/(x^(2)+1)^(2)`

D

`2/(x^(2)+1)-15/(x^(2)+1)^(2)+10/(x^(2)+1)^(2)`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
  1. If (3x)/((x-a)(x-b))=2/(x-a)+1/(x-b) " then "a:b=

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  2. (x^(2)+5x+7)/(x+1)^(3)=

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  3. Resolve (x^(4)+24x^(2)+28)/((x^(2)+1)^(3)) into partial fractions.

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  4. The partial fractions of (x^(4)+18x^(2)+22)/(x^(2)+2)^(3) are

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  5. (3x^(2)+x+1)/(x-1)^(4)=a/(x-1)+b/(x-1)^(2)+c/(x-1)^(3)+d/(x-1)^(4) rAr...

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  6. Resolve the following into partial fractions. (3x^(2)-8x^(2) + 10)/(...

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  7. The partial fractions of (2x^(3)+3x^(2)+5x+7)/(x+1)^(5) are

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  8. If (x^(2)+5)/(x^(2)+2)^(2)=1/(x^(2)+2)+k/(x^(2)+2)^(2) " then " k=

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  9. If (x^(2)+2x+3)/x^(3)=A/x+B/x^(2)+C/x^(3), " then " A+B-C=

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  10. If (x^(2)-5x+7)/(x-1)^(3)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3) " then " A+B...

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  11. If (3x^(2)+x+1)/(x-1)^(4)=A/(x-1)+B/(x-1)^(2)+C/(x-1)^(3)+D/(x-1)^(4) ...

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  12. (x+1)/(x^(4)(x+2)) = (A)/(x) + (B)/(x^(2)) + (C )/(x^(3)) + (D)/(x^(4)...

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  13. 1/((x-1)^(2)(x+1))=

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  14. (x+1)/((x-1)^(2)(x-2))=

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  15. (2x^(2)-3x+4)/(x^(2)(x+1)^(2))=

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  16. (x^(4)+2)/((x-1)^(2)(x+1))=

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  17. Resolve the following into partial fractions. (2X^(2)+2x+1)/(x^(3)+x...

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  18. If (x^(4)+3x+1)/((x+1)^(2)(x-1))=Ax+B+C/(x+1)+D/(x+1)^(2)+E/(x-1) " th...

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  19. If (x^(4)+2)/((x-1)^(2)(x+1))=Ax+B+C/(x-1)+D/(x-1)^(2)+E/(x+1) " then ...

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  20. If (3x+4)/((x+1)^(2)(x-1))=A/(x-1)+B/(x+1)+C/(x+1)^(2) " then " A=

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