Express the following expressions in partial fractions: \(\frac{{{x}^{3}}-3{{x}^{2}}-x+15}{(x-1)(x-3

Question

Express the following expressions in partial fractions: $\frac{{{x}^{3}}-3{{x}^{2}}-x+15}{(x-1)(x-3)}$ $\frac{2{{x}^{2}}-x+2}{\left( x+2 \right)\left( x-1 \right)}$ $\frac{2{{x}^{3}}-2{{x}^{2}}+2}{{{x}^{2}}-4}$

Accepted Answer

(a) $x+1-\frac{6}{x-1}+\frac{6}{x-3}$ (b) $2-\frac{4}{x+2}+\frac{1}{x-1}$ (c) $2x-2+\frac{5}{2(x-2)}+\frac{11}{2(x+2)}$

Question 114064

Question 114064

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