What is expand (e^a)/((1+e^a)^2) ?

The solution to expand (e^a)/((1+e^a)^2) is (e^a)/(1+2e^a+e^{2a)}

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expand (e^a)/((1+e^a)^2)

expand

\frac{e ^{a}}{( 1 + e ^{a} ) ^{2}}

\frac{e ^{a}}{1 + 2 e ^{a} + e ^{2 a}}

Solution steps

\frac{e ^{a}}{( 1 + e ^{a} ) ^{2}}

(1 + e^{a})^{2} = 1 + 2 e^{a} + e^{2 a}

= \frac{e ^{a}}{1 + 2 e ^{a} + e ^{2 a}}

\frac{a s ^{2} + 2 s + 2}{s ( s ^{2} + 2 s + 2 )}

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

8 x^{2} - (24 x + 9) ln (x)

(3 n - \frac{1}{2})^{2}

y d x - x (ln (x) + y^{2} ln (y)) d y

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