What is expand ((1+2x)^{1/2})/((1+x)^3) ?

The solution to expand ((1+2x)^{1/2})/((1+x)^3) is ((1+2x)^{1/2})/(1+3x+3x^2+x^3)

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expand ((1+2x)^{1/2})/((1+x)^3)

expand

\frac{( 1 + 2 x ) ^{\frac{1}{2}}}{( 1 + x ) ^{3}}

\frac{( 1 + 2 x ) ^{\frac{1}{2}}}{1 + 3 x + 3 x ^{2} + x ^{3}}

Solution steps

\frac{( 1 + 2 x ) ^{\frac{1}{2}}}{( 1 + x ) ^{3}}

(1 + x)^{3} = 1 + 3 x + 3 x^{2} + x^{3}

= \frac{( 1 + 2 x ) ^{\frac{1}{2}}}{1 + 3 x + 3 x ^{2} + x ^{3}}

\frac{( - 12.921 x ^{2} - 25.842 x + 4380 )}{( x + 1 ) ^{2}} - 20

(6 - x + 4)^{2}

\frac{( x + 3 ) ^{2}}{4}

(x + 3) (x + 3)^{3}

\frac{1 - e ^{- λ (t + x)}}{1 - e ^{- λ t}}

What is expand ((1+2x)^{1/2})/((1+x)^3) ?
The solution to expand ((1+2x)^{1/2})/((1+x)^3) is ((1+2x)^{1/2})/(1+3x+3x^2+x^3)