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Resolve (x^(4)+13x^(2)+15)/((2x^(2)+3)(x...

Resolve `(x^(4)+13x^(2)+15)/((2x^(2)+3)(x^(2)+3)^(2))` into partial fractions

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The correct Answer is:
`(1)/(x^(2)+3)+(5)/((x^(2)+3)^(2))-(1)/(2x^(2)+3)`
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AAKASH SERIES-PARTIAL FRACTIONS-ADDITIONAL EXERCISE
  1. Find the remainder when x^(6)-4x^(5)+3x^(4)-2x^(2)+x-1 is divided with...

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  2. If the remainders obtained when a polynomial f(x) is divided with x, x...

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  3. Resolve into partial fractions the expression ((1+x)(1+2x)(1+3x))/((1-...

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  4. Resolve (1)/(x^(8)(x+1)) into partial fractions.

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  5. Resolve (1)/((x+1)^(6)(x+2)) into partial fractions.

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  6. Resolve into partial fractions the expression (8x^(3)-5x^(2)+2x+4)/((2...

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  7. Resolve (3x^(2)+5)/((x^(2)+2)^(2)(x^(2)+1)) into partial fractions

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  8. Resolve (x^(4)+13x^(2)+15)/((2x^(2)+3)(x^(2)+3)^(2)) into partial frac...

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  9. Resolve (x^(2)+4x+7)/((x^(2)+x+1)^(2)) into partial fractions.

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  10. Resolve (x^(4)+x^(2)+x+2)/((x^(2)-x+1)^(2)) into partial fractions

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  11. Find the value of k, if (i) (3x-4)/((x-3)(x+k))=(1)/(x-3)+(2)/(x+k...

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  12. Find the value of k, if (ii) (k)/(x^(2)-4) = (1)/(x-2)-(1)/(x+2)

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  13. Find the value of k, if (iii) (x^(2)8)/((x^(2)+2^(2)))=(1)/(x^(2)+...

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  14. (i) If (ax+b)/((2x+3)^(2))=(1)/(2x+3)+(k)/((x^(2)+2)^(2)), then find t...

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  15. (iii) If (x^(2)+x+2)/(x^(2)+2x+1)=A+(B)/(x+1)+(C)/((x+1)^(2)), then fi...

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  16. Iiv) If (2x^(3)+1)/((x-1)(x+1)(x+2))=A+(B)/(x-1)+(C)/(x+1)+(D)/(x+2), ...

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  17. If (x+1)/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1), then find the principal val...

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