What is expand (e^{7x}+e^{-7x})^2 ?

The solution to expand (e^{7x}+e^{-7x})^2 is e^{14x}+2+e^{-14x}

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expand (e^{7x}+e^{-7x})^2

expand

(e^{7 x} + e^{- 7 x})^{2}

e^{14 x} + 2 + e^{- 14 x}

Solution steps

(e^{7 x} + e^{- 7 x})^{2}

Apply Perfect Square Formula:

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

a = e^{7 x}, b = e^{- 7 x}

= (e^{7 x})^{2} + 2 e^{7 x} e^{- 7 x} + (e^{- 7 x})^{2}

Simplify

(e^{7 x})^{2} + 2 e^{7 x} e^{- 7 x} + (e^{- 7 x})^{2} : e^{14 x} + 2 + e^{- 14 x}

= e^{14 x} + 2 + e^{- 14 x}

(1 + x)^{7}

(1 + x)^{6}

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

(x + 2) (x - 2) (x + \frac{17}{10}) (x - \frac{17}{10})

x 2 - 1.695 x + 0.2583

What is expand (e^{7x}+e^{-7x})^2 ?
The solution to expand (e^{7x}+e^{-7x})^2 is e^{14x}+2+e^{-14x}