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andreev551 [17]
4 years ago
8

Simplify expression and show work please​

Mathematics
1 answer:
kupik [55]4 years ago
8 0

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.

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