Answer
$x+2x\sqrt{x}-\sqrt{x}$ or also $x-x^{1/2}+2x^{3/2}$
Work Step by Step
$\sqrt{x}(\sqrt{x}+1)(2\sqrt{x}-1)$
Multiply the first two factors:
$\sqrt{x}(\sqrt{x}+1)(2\sqrt{x}-1)=[(\sqrt{x})^{2}+\sqrt{x}](2\sqrt{x}-1)=...$
$...=(x+\sqrt{x})(2\sqrt{x}-1)=...$
Evaluate the remaining product and simplify:
$...=2x\sqrt{x}-x+2(\sqrt{x})^{2}-\sqrt{x}=...$
$...=2x\sqrt{x}-x+2x-\sqrt{x}=...$
$...=x+2x\sqrt{x}-\sqrt{x}$
There is another way to express the answer. It is using rational exponents. Change the roots to powers with rational exponent and simplify:
$x+2(x)(x^{1/2})-x^{1/2}=...$
$...=x+2x^{3/2}-x^{1/2}=...$
Rearrange:
$...=x-x^{1/2}+2x^{3/2}$
