resolve x+11 /(x+3) (x-1)(x-1) into partial fraction

asked by guest
on Nov 17, 2024 at 7:47 am



You asked:

Compute the partial fraction decomposition of x+11(x+3)(x−1)(x−1)x + \frac{11}{\left(x + 3\right) \left(x - 1\right) \left(x - 1\right)}.

MathBot Answer:

The rational function x+11(x−1)(x−1)(x+3)x + \frac{11}{\left(x - 1\right) \left(x - 1\right) \left(x + 3\right)} decomposes into the partial fraction decomposition x+1116(x+3)−1116(x−1)+114(x−1)2x + \frac{11}{16 \left(x + 3\right)} - \frac{11}{16 \left(x - 1\right)} + \frac{11}{4 \left(x - 1\right)^{2}}

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