partial fractions
(2x^3 - 5x^2 + 6)/((x^2 - 2x + 2) (x-2)^2)
You asked:
Compute the partial fraction decomposition of \(\frac{2 \cdot {x}^{3} - 5 \cdot {x}^{2} + 6}{\left({x}^{2} - 2 x + 2\right) \cdot {\left( x - 2 \right)}^{2}}\).
MathBot Answer:
The rational function \(\frac{2 x^{3} - 5 x^{2} + 6}{\left(x - 2\right)^{2} \left(x^{2} - 2 x + 2\right)}\) decomposes into the partial fraction decomposition \(\frac{x + 2}{x^{2} - 2 x + 2} + \frac{1}{x - 2} + \frac{1}{\left(x - 2\right)^{2}}\)
asked 7 months ago
active 7 months ago