Express the following in partial fractions: \(\frac{{{x}^{2}}+8x-1}{\left( x-3 \right){{\left( x+1 \

Question

Express the following in partial fractions: $\frac{{{x}^{2}}+8x-1}{\left( x-3 \right){{\left( x+1 \right)}^{2}}}$ $\frac{{{x}^{2}}-x+1}{\left( 2-x \right){{\left( x-1 \right)}^{2}}}$ $\frac{1-3x+{{x}^{2}}}{\left( {{x}^{2}}-9 \right)\left( x+3 \right)}$

Accepted Answer

(a) $\frac{2}{x-3} - \frac{1}{x+1} + \frac{2}{(x+1)^2}$ (b) $ \frac{3}{2 - x} + \frac{2}{x - 1} + \frac{1}{(x - 1)^2}$ (c) $ \frac{1}{36(x - 3)} + \frac{35}{36(x + 3)} - \frac{19}{6(x + 3)^2}$

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

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