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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{2 s + 1}{s ( s + 1 ) ( s ^{2} + 4 s + 6 )}

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

(x + i)^{2}

x^{\frac{1}{3}} (x + 4)

ln (z)

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