What is (e^{-x}-e^5)(e^x+e^{-2}) ?

The solution to (e^{-x}-e^5)(e^x+e^{-2}) is (e^{-x}-e^5)(e^x+1/(e^2))

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simplify (e^{-x}-e^5)(e^x+e^{-2})

simplify

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

(e^{- x} - e^{5}) (e^{x} + \frac{1}{e ^{2}})

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= (- e^{5} + e^{- x}) (e^{x} + \frac{1}{e ^{2}})

y^{^{''}} - 2 y + y = t + 1, y (0) = 0, y^{^{'}} (0) = 0

f (x) = - \frac{2}{x}

\frac{\partial}{\partial x} (4 x e^{4 x y})

\frac{d}{d x} (x^{2} y + x y^{2})

What is (e^{-x}-e^5)(e^x+e^{-2}) ?
The solution to (e^{-x}-e^5)(e^x+e^{-2}) is (e^{-x}-e^5)(e^x+1/(e^2))