$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{\left(9\sqrt{2}-8\sqrt{19}\right)\left(9\sqrt{2}+8\sqrt{19}\right)})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{\left(9\sqrt{2}\right)^{2}-\left(-8\sqrt{19}\right)^{2}})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{9^{2}\left(\sqrt{2}\right)^{2}-\left(-8\sqrt{19}\right)^{2}})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{81\left(\sqrt{2}\right)^{2}-\left(-8\sqrt{19}\right)^{2}})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{81\times 2-\left(-8\sqrt{19}\right)^{2}})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{162-\left(-8\sqrt{19}\right)^{2}})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{162-\left(-8\right)^{2}\left(\sqrt{19}\right)^{2}})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{162-64\left(\sqrt{19}\right)^{2}})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{162-64\times 19})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{162-1216})$$

$$factor(-\frac{\left(2\sqrt{v}+c\sqrt{2}\right)\left(9\sqrt{2}+8\sqrt{19}\right)}{-1054})$$

$$factor(-\frac{18\sqrt{v}\sqrt{2}+16\sqrt{19}\sqrt{v}+9c\left(\sqrt{2}\right)^{2}+8c\sqrt{2}\sqrt{19}}{-1054})$$

$$factor(-\frac{18\sqrt{v}\sqrt{2}+16\sqrt{19}\sqrt{v}+9c\times 2+8c\sqrt{2}\sqrt{19}}{-1054})$$

$$factor(-\frac{18\sqrt{v}\sqrt{2}+16\sqrt{19}\sqrt{v}+18c+8c\sqrt{2}\sqrt{19}}{-1054})$$

$$factor(-\frac{18\sqrt{v}\sqrt{2}+16\sqrt{19}\sqrt{v}+18c+8c\sqrt{38}}{-1054})$$

$$2\left(9\sqrt{v}\sqrt{2}+8\sqrt{19}\sqrt{v}+9c+4c\sqrt{38}\right)$$

$$\frac{9\sqrt{v}\sqrt{2}+8\sqrt{19}\sqrt{v}+9c+4c\sqrt{38}}{527}$$