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Resolve into Partial Fractions If (1)...

Resolve into Partial Fractions
If `(1)/(x^(3)(x+3))=(1)/(Ax) - (1)/(Bx^(2))+(1)/(Cx^(3))-(1)/(D(x+3))` then find the values of A, B, C and D.

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The correct Answer is:
27,9,3,27
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AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - 4 ( SHORT ANSWER QUESTIONS)
  1. Resolve into Partial Fractions (ix) (3x-18)/(x^(3)(x+3))

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

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  3. Resolve into Partial Fractions If (1)/(x^(3)(x+3))=(1)/(Ax) - (1)/(...

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  4. Resolve into Partial Fractions (i) (x^(2)+1)/((x^(2)+4)(x-2))

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

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  6. Resolve the following into partial fractions. (2x^(2)+3x+4)/((x-1)(x...

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  7. Resolve (x^(3)+x^(2)+1)/((x^(2)+2)(x^(2)+3)) into partial fractions.

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  8. Resolve the following into partial fractions. (2x-1)/((1-x-x^(2))(x+...

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  9. Resolve into Partial Fractions (vi) (5x^(2)+2)/(x^(3)+x)

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

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  11. Resolve into Partial Fractions (i) (x^(3))/((x^(2)+1)^(2))

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  12. Resolve the following into partial fractions. (x^(2)+1)/((x^(2)+x+1)...

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

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  14. Resolve into Partial Fractions (iv) (x+3)/((1-x)^(2)(1+x^(2)))

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  15. Resolve the following into partial fractions. (x^(2))/ ((x-1)(x-2))

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  16. Resolve into Partial Fractions (ii) (x^(3))/((2x-1)(x+2)(x-3))

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

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  18. Resolve into Partial Fractions (iv) (x^(4))/((x-1)(x-2))

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  19. Resolve into Partial Fractions (v) (2x^(3)+3)/(x^(2)-5x+6)

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  20. (x^(3))/((2x-1)(x-1)^(2))

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