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

The solution to simplify-(e^x+e^{-x})(e^x+e^{-x}) is -e^{-2x}-e^{2x}-2

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

simplify

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

- e^{- 2 x} - e^{2 x} - 2

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(e^{x} + e^{- x}) (e^{x} + e^{- x}) = (e^{x} + e^{- x})^{1 + 1}

= - (e^{x} + e^{- x})^{1 + 1}

Add the numbers:

1 + 1 = 2

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

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

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

Expand

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

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

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

e^{- (l n (x) + 2 x)}

e^{- 0.001 \cdot 600}

65 π

e^{t - x} e^{- 4 x}

6.28 \cdot 1 0^{- 8}

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