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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(x^{3} - 4 x) d x

(2 x) (x) (\frac{50}{x ^{2}})

\frac{( e ^{k t} - 1 ) k ^{2} + 1}{k}

6 (e - 3)

\frac{9 ( x - 3 )}{( x - 2 ) ( x - 1 )}

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