What is expand (e^{17x}+e^{-17x})(e^{17x}-e^{-17x}) ?

The solution to expand (e^{17x}+e^{-17x})(e^{17x}-e^{-17x}) is e^{34x}-e^{-34x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e^{17x}+e^{-17x})(e^{17x}-e^{-17x})

expand

(e^{17 x} + e^{- 17 x}) (e^{17 x} - e^{- 17 x})

e^{34 x} - e^{- 34 x}

Solution steps

(e^{17 x} + e^{- 17 x}) (e^{17 x} - e^{- 17 x})

Apply Difference of Two Squares Formula:

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

a = e^{17 x}, b = e^{- 17 x}

= (e^{17 x})^{2} - (e^{- 17 x})^{2}

Simplify

(e^{17 x})^{2} - (e^{- 17 x})^{2} : e^{34 x} - e^{- 34 x}

= e^{34 x} - e^{- 34 x}

cos (x) (- cos (x) + 1)

\frac{( x + 3 ) ^{2}}{x - 1}

\frac{1}{5 ( 10 x - 5 )}

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

6 (m + \frac{7}{12})^{2} - \frac{1}{24}

What is expand (e^{17x}+e^{-17x})(e^{17x}-e^{-17x}) ?
The solution to expand (e^{17x}+e^{-17x})(e^{17x}-e^{-17x}) is e^{34x}-e^{-34x}