[tex]\big(4x\sqrt{5x^2}+2x^2\sqrt{6}\big)^2=\big(4x\sqrt{5x^2}\big)^2+\big(2x^2\sqrt{6}\big)^2+2\cdot4x\sqrt{5x^2}\cdot2x^2\sqrt{6}=\\\\\\=16x^2\cdot5x^2+4x^4\cdot6+16x^3\sqrt{x^2}\sqrt{30}=80x^4+24x^4+16x^4\sqrt{30}=\\\\\\=\boxed{104x^4+16x^4\sqrt{30}}[/tex]
Answer D.
