Step-by-step explanation:
[tex] = \frac{(2c {}^{2} + c - 2) }{(c + 1)} \\ rationalise \: the \: denominator \\ = \frac{(2 {c}^{2} + c - 2)(c - 1)}{(c + 1)(c - 1)} \\ = \frac{(2 {c}^{3} - 2 {c}^{2} + {c}^{2} - c - 2c + 2) }{( {c}^{2} - {1}^{2} )} \\ = \frac{(2 {c}^{3} - {c}^{2} - 3c + 2 )}{( {c}^{2} - 1) } [/tex]