What is expand (1+e^{f(x)})^2 ?

The solution to expand (1+e^{f(x)})^2 is 1+2e^{fx}+e^{2fx}

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expand (1+e^{f(x)})^2

expand

(1 + e^{f (x)})^{2}

1 + 2 e^{f x} + e^{2 f x}

Solution steps

(1 + e^{f (x)})^{2}

Remove parentheses:

(a) = a

= (1 + e^{f x})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = 1, b = e^{f x}

= 1^{2} + 2 \cdot 1 \cdot e^{f x} + (e^{f x})^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot e^{f x} + (e^{f x})^{2} : 1 + 2 e^{f x} + e^{2 f x}

= 1 + 2 e^{f x} + e^{2 f x}

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\frac{61 ( s + 11 )}{5 s ^{3} + 100 s ^{2} + 805 s + 3050}

\frac{20 x + 13}{3 ( 7 x + 5 )}

\frac{8 π ( 36 \cdot 6 ^{\frac{1}{4}} - 1 )}{9}

What is expand (1+e^{f(x)})^2 ?
The solution to expand (1+e^{f(x)})^2 is 1+2e^{fx}+e^{2fx}