[tex]4x\sqrt{32xv^2}+v\sqrt{2x^3}=4x\sqrt{16\cdot2}\cdot\sqrt{x}\cdot\sqrt{v^2}+v\sqrt2\cdot\sqrt{x^2\cdot x}\\\\=4x\cdot4\sqrt2\cdot\sqrt{x}\cdot v+v\sqrt2\cdot x\sqrt{x}=16xv\sqrt{2x}+xv\sqrt{2x}=17\sqrt{2x}\\\\========================================\\\\D;\\x\in < 0;\ \infty)\ \wedge\ v\in\mathbb{R}[/tex]