[tex] \frac{4k + 2}{ {k}^{2} - 4} \times \frac{k - 2}{2k + 1} [/tex]
[tex] \ \frac{4k(k - 2)2(k - 2)}{ {k}^{2}(2k + 1) - 4(2k + 1) } [/tex]
[tex] \frac{4 {k}^{2} - 8k + 2k - 4 }{2 {k}^{3} + {k}^{2} - 8k - 4 } [/tex]
[tex] \frac{4 {k}^{2} + 2k}{2 {k}^{3} + {k}^{2} } [/tex]