Answer
$x + (2x-1)\sqrt{x}$
Work Step by Step
Multiply $\sqrt{x}$ to each term of $(\sqrt{x}+1)$ to obtain:
$=(\sqrt{x} \cdot \sqrt{x} + \sqrt{x}\cdot 1)(2\sqrt{x}-1)
\\=(x+\sqrt{x})(2\sqrt{x}-1)$
Multiply using the formula $(a+b)(c+d) = ac + ad + bc + bd$ or the FOIL method, to obtain:
$=x(2\sqrt{x}) + x(-1) + \sqrt{x}(2\sqrt{x})+\sqrt{x}(-1)
\\=2x\sqrt{x}-x+2x-\sqrt{x}$
Combine like terms to obtain:
$=(-x+2x) + (2x\sqrt{x}-\sqrt{x})
\\=x +\sqrt{x}(2x-1)
\\=x + (2x-1)\sqrt{x}$
