URGENT VB.NET - Need to resize textbox automatically without using MultiLine/ScrollBars properties

Hello,

I was wondering if it was possible to have a textbox expand in width and height as the user types.  I know that you can set the Multi-Line property to True and set the ScrollBars property, but my client doesn't want to see or use the scrollbars.  Should I use a FlowLayoutPanel or a TableLayoutPanel?  Do I have to set Anchoring properties?  Please see the attached example file.

Thanks for your help!