Find the partial fraction decomposition of
(2 + 8x⁻¹)/(1 + 8x⁻¹ + 15x⁻²).
You asked:
Compute the partial fraction decomposition of \(\frac{2 + 8 \cdot {x}^{-1}}{1 + 8 \cdot {x}^{-1} + 15 \cdot {x}^{-2}}\).
MathBot Answer:
The rational function \(\frac{2 + \frac{8}{x}}{1 + \frac{8}{x} + \frac{15}{x^{2}}}\) decomposes into the partial fraction decomposition \(2 - \frac{5}{x + 5} - \frac{3}{x + 3}\)