We have the following expression given:
[tex](2\sqrt{x}+2)(\sqrt{x+3})[/tex]And we can distribute the terms and we got:
[tex]2\sqrt{x}\sqrt{x+3}+2\sqrt{x+3}[/tex]And we can simplify like this:
[tex]2\sqrt{x(x+3)}+2\sqrt{x+3}[/tex]And finally we can take common factor 2 and we got:
[tex]2(\sqrt{x(x+3)}+\sqrt{x+3})[/tex]