partial fractions

(2x^3 - 5x^2 + 6)/((x^2 - 2x + 2) (x-2)^2)

asked by guest
on Dec 07, 2023 at 11:31 pm

MathBot Answer:

The rational function \(\frac{\left(2 x^{3} - 5 x^{2}\right) + 6}{\left(x - 2\right)^{2} \left(\left(x^{2} - 2 x\right) + 2\right)}\) 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 2 months ago

active 2 months ago