Question

$$\frac{\sqrt{1+2x-\sqrt{1-2x}}{x}$$

Answer

$$2*x-2*x^2$$

Solution


Simplify  \(\sqrt{1}\)  to  \(1\).
\[1+2x-1-2xx\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[1+2x-1-2{x}^{2}\]
Collect like terms.
\[(1-1)+2x-2{x}^{2}\]
Simplify.
\[2x-2{x}^{2}\]