A correct option is an option (d)
The given expression is,
[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )[/tex]
Now, simplifying the given expression as,
[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )=(x\sqrt{6}-8\sqrt{2}x\sqrt{x} )(3\sqrt{x} -x\sqrt{5x^5}) \\ = (x\sqrt{6}+8x\sqrt{2x} )(3\sqrt{x} -x^3\sqrt{5x} )\\=3x\sqrt{6x} -x^4\sqrt{30x}+24x^2\sqrt{2x} -8x^5\sqrt{10x}[/tex]
So, the correct option is an option (d).
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