What is expand (e^{3x}+2)^2 ?

The solution to expand (e^{3x}+2)^2 is e^{6x}+4e^{3x}+4

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

expand

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

e^{6 x} + 4 e^{3 x} + 4

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{3 x}, b = 2

= (e^{3 x})^{2} + 2 e^{3 x} \cdot 2 + 2^{2}

Simplify

(e^{3 x})^{2} + 2 e^{3 x} \cdot 2 + 2^{2} : e^{6 x} + 4 e^{3 x} + 4

= e^{6 x} + 4 e^{3 x} + 4

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

20

1 + \frac{1.6 K ( x + 2 ) ( T x + 1 )}{x ^{2} + 2 x + 1.64}

\frac{10 ( s ^{2} + 119 )}{( s + 5 ) ( s ^{2} + 10 s + 169 )}

\frac{1}{9} (- 3 e^{- 3 x} x - e^{- 3 x}) + C

What is expand (e^{3x}+2)^2 ?
The solution to expand (e^{3x}+2)^2 is e^{6x}+4e^{3x}+4