Express the following expressions in partial fractions: $\frac{13-2x}{(x-1)({{x}^{2}}+10)}$ \(\fra

Question

Express the following expressions in partial fractions: $\frac{13-2x}{(x-1)({{x}^{2}}+10)}$ $\frac{3-x-{{x}^{2}}}{{{x}^{3}}+2x}$ $\frac{5{{x}^{2}}+9x-10}{\left( x+1 \right)\left( {{x}^{2}}+3 \right)}$

Accepted Answer

(a) $\frac{1}{x-1}-\frac{x+3}{x^2+10}$ (b) $\frac{3}{2x}-\frac{5x+2}{2(x^2+2)}$ (c) $-\frac{7}{2(x+1)}+\frac{27x+1}{2(x^2+3)}$

Quadratic Factor in the Denominator that cannot be Factorised

Quadratic Factor in the Denominator that cannot be Factorised

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