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

The solution to expand (1+e^{2x})^2 is 1+2e^{2x}+e^{4x}

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

expand

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

1 + 2 e^{2 x} + e^{4 x}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{2 x}

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

Simplify

1^{2} + 2 \cdot 1 \cdot e^{2 x} + (e^{2 x})^{2} : 1 + 2 e^{2 x} + e^{4 x}

= 1 + 2 e^{2 x} + e^{4 x}

\frac{5 x - 13}{( x - 3 ) ( x - 2 )}

(1 - sin (x)) (sec (x) + tan (x))

(1 - 2 i)^{4}

(sec (x) + tan (x)) (1 - sin (x))

(sec (x) - tan (x)) (csc (x) + 1)

What is expand (1+e^{2x})^2 ?
The solution to expand (1+e^{2x})^2 is 1+2e^{2x}+e^{4x}