# How do you write the partial fraction decomposition of the rational expression x^2 / (x² + x + 2)?

${x}^{2} / \left({x}^{2} + x + 2\right) = \frac{\left({x}^{2} + x + 2\right) - \left(x + 2\right)}{{x}^{2} + x + 2}$
$\frac{{x}^{2} + x + 2}{{x}^{2} + x + 2} - \frac{x + 2}{{x}^{2} + x + 2} = 1 - \frac{x + 2}{{x}^{2} + x + 2}$.