What is expand ((1+2x)^{1/2})/((1-x)^{1/2)} ?

The solution to expand ((1+2x)^{1/2})/((1-x)^{1/2)} is ((1+2x)/(1-x))^{1/2}

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expand ((1+2x)^{1/2})/((1-x)^{1/2)}

expand

\frac{( 1 + 2 x ) ^{\frac{1}{2}}}{( 1 - x ) ^{\frac{1}{2}}}

(\frac{1 + 2 x}{1 - x})^{\frac{1}{2}}

Solution steps

\frac{( 1 + 2 x ) ^{\frac{1}{2}}}{( 1 - x ) ^{\frac{1}{2}}}

Combine same powers :

\frac{x ^{\frac{a}{m}}}{y ^{\frac{b}{m}}} = (\frac{x ^{a}}{y ^{b}})^{\frac{1}{m}}

= (\frac{1 + 2 x}{1 - x})^{\frac{1}{2}}

- 4 (m x - m + 4)^{2}

\frac{5 x + 1}{( x + 1 ) ( x + 10 ) ( 2 x - 1 )}

(e^{\frac{x}{a}} + e^{- \frac{x}{a}})^{2}

\frac{6 t}{( t ^{2} + 3 ) ^{2}}

(\frac{n + 1}{2 n + 5}) - (\frac{( n )}{2 n + 3})

What is expand ((1+2x)^{1/2})/((1-x)^{1/2)} ?
The solution to expand ((1+2x)^{1/2})/((1-x)^{1/2)} is ((1+2x)/(1-x))^{1/2}