Question

Simplify expression and show work please​

Answer 1

Answer:

Step-by-step explanation:

Hello, please consider the following.

First, the numerator.

$(x+1)(\dfrac{1}{2\sqrt{x}})-\sqrt{x}=(x+1)\dfrac{\sqrt{x}}{2x}-\sqrt{x}\\\\=\dfrac{(x+1)\sqrt{x}-2x\sqrt{x}}{2x}=\dfrac{\sqrt{x}(x+1-2x)}{2x}\\\\=\dfrac{\sqrt{x}(1-x)}{2x}$

So it gives.

$\dfrac{(x+1)(\dfrac{1}{2\sqrt{x}})-\sqrt{x}}{(x+1)^2}=\boxed{\dfrac{\sqrt{x}(1-x)}{2x(x+1)^2}}$

thanks.