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 \(x + \frac{11}{\left(x + 3\right) \cdot \left(x - 1\right) \cdot \left(x - 1\right)}\).

MathBot Answer:

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