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

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

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

expand

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

e^{6 x} + 2 + e^{- 6 x}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(e^{3 x})^{2} + 2 e^{3 x} e^{- 3 x} + (e^{- 3 x})^{2} : e^{6 x} + 2 + e^{- 6 x}

= e^{6 x} + 2 + e^{- 6 x}

(\frac{3}{x} - \frac{x}{3})^{8}

2 x (y + 1) d x - y d y

(a + b x)^{2}

(3 - x) (3 + x)

\frac{( 1 + i ) ^{9}}{( 1 - i ) ^{7}}

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