$P=\left(\dfrac{\sqrt{x}-2}{\sqrt{x}-1}-\dfrac{\sqrt{x}+2}{x+2\sqrt{x}+1}\right).\dfrac{\left(1-x\right)^2}{2}$ `;(x>=0;x!=1)`
$P=\dfrac{\left(x\sqrt{x}-x-4\sqrt{x}\right)\left(1-x\right)^2}{\left(x\sqrt{x}+x-\sqrt{x}-1\right)\cdot \:2}$
$P=\dfrac{\left(x\sqrt{x}-x-4\sqrt{x}\right)\left(1-x\right)^2}{2\left(x\sqrt{x}+x-\sqrt{x}-1\right)}$
$P=\dfrac{\left(x\sqrt{x}-x-4\sqrt{x}\right)\left(x-1\right)^2}{2\left(\sqrt{x}+1\right)\left(x-1\right)}$
$P=\dfrac{\left(x\sqrt{x}-x-4\sqrt{x}\right)\left(x-1\right)}{2\left(\sqrt{x}+1\right)}$
$P=\dfrac{\left(x\sqrt{x}-x-4\sqrt{x}\right)\left(\sqrt{x}-1\right)}{2}$
$P=\dfrac{x^2-2x\sqrt{x}-3x+4\sqrt{x}}{2}$
