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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

(2, 0), (32, - 5)

\int 27 sec^{4} (x) d x

\int \frac{cot ^{5} ( x )}{sin ( x )} d x

x \to - 3 lim (x)

\int \frac{sin ( x ) + cos ( x )}{sin ^{2} ( x )} d x

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