Questions

1. Question 1

   Resolve into partial fractions: $\dfrac{2}{x^2-1}$

   SolutionTheory
2. Question 2

   Resolve into partial fractions: $\dfrac{a-b}{(x-a)(x-b)}\,(a\ne b)$

   SolutionTheory
3. Question 3

   Resolve into partial fractions: $\dfrac{x^2+1}{(x+1)(x-1)}$

   SolutionTheory
4. Question 4

   Resolve into partial fractions: $\dfrac{2x+3}{(x+1)(x+2)(x+3)}$

   SolutionTheory
5. Question 5

   Resolve into partial fractions: $\dfrac{x^2+4x+5}{(x+1)(x^2+5x+6)}$

   SolutionTheory
6. Question 6

   Resolve into partial fractions: $\dfrac{4x^3+5x^2-3x-2}{x^2-1}$

   SolutionTheory
7. Question 7

   Resolve into partial fractions: $\dfrac{3x^2-12x+11}{(x-1)(x-2)(x-3)}$

   SolutionTheory
8. Question 8

   Resolve into partial fractions: $\dfrac{(x-1)(x-2)(x-3)}{(x-4)(x-5)(x-6)}$

   SolutionTheory
9. Question 9

   Resolve into partial fractions: $\dfrac{x^2}{(x^2+a)(x^2+b)(x^2+c)}$

   SolutionTheory
10. Question 10

    Resolve into partial fractions: $\dfrac{x+1}{(x-1)^2}$

    SolutionTheory
11. Question 11

    Resolve into partial fractions: $\dfrac{x^2+x}{(x^2-1)^2}$

    SolutionTheory
12. Question 12

    Resolve into partial fractions: $\dfrac{3x^2+4x-5}{(x-1)^3}$

    SolutionTheory
13. Question 13

    Resolve into partial fractions: $\dfrac{1}{x(x+1)^3}$

    SolutionTheory
14. Question 14

    Resolve into partial fractions: $\dfrac{4x^2-3x+1}{(x+1)(x-1)^2}$

    SolutionTheory
15. Question 15

    Resolve into partial fractions: $\dfrac{12x^2-48}{(x-2)^2(x+2)^2}$

    SolutionTheory