How do you express $\frac{x^{2}}{x^{2} + 3 x + 2}$ $(x^2) / ( x^2 + 3x +2)$ in partial fractions?

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How do you express $\frac{x^{2}}{x^{2} + 3 x + 2}$ $(x^2) / ( x^2 + 3x +2)$ in partial fractions?

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Answer 1 · 2016-05-27T17:16:31

It is

$\frac{x^{2}}{x^{2} + 3 x + 2} = \frac{x^{2}}{(x + 1) \cdot (x + 2)} = - \frac{4}{x + 2} + \frac{1}{x + 1} + 1$ $x^2/(x^2+3 x+2)=x^2/[(x+1)*(x+2)]=-4/(x+2)+1/(x+1)+1$

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How do you express $\frac{x^{2}}{x^{2} + 3 x + 2}$ $(x^2) / ( x^2 + 3x +2)$ in partial fractions?

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