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

The solution to expand (e^{2x}+2)^3 is e^{6x}+6e^{4x}+12e^{2x}+8

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

expand

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

e^{6 x} + 6 e^{4 x} + 12 e^{2 x} + 8

Solution steps

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

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

Simplify

(e^{2 x})^{3} + 3 (e^{2 x})^{2} \cdot 2 + 3 e^{2 x} \cdot 2^{2} + 2^{3} : e^{6 x} + 6 e^{4 x} + 12 e^{2 x} + 8

= e^{6 x} + 6 e^{4 x} + 12 e^{2 x} + 8

tan^{(8)} ((4 x + 1)^{(3)})

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

\frac{63}{( K + 1 ) ^{2}}

3 (\frac{1 - 4 y}{3}) (y)

cos (3 (π - θ))

What is expand (e^{2x}+2)^3 ?
The solution to expand (e^{2x}+2)^3 is e^{6x}+6e^{4x}+12e^{2x}+8