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

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

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

expand

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

e^{y + x} + e^{x - y} - e^{y - x} - e^{- x - y}

Solution steps

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

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = e^{x}, b = - e^{- x}, c = e^{y}, d = e^{- y}

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

Apply minus-plus rules

+ (- a) = - a

= e^{y} e^{x} + e^{x} e^{- y} - e^{y} e^{- x} - e^{- x} e^{- y}

Simplify

e^{y} e^{x} + e^{x} e^{- y} - e^{y} e^{- x} - e^{- x} e^{- y} : e^{y + x} + e^{x - y} - e^{y - x} - e^{- x - y}

= e^{y + x} + e^{x - y} - e^{y - x} - e^{- x - y}

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

f (x) = \frac{8 x + 16}{( x - 1 ) ^{4}}

\frac{16 b ^{2} - 128 b - 1304}{( b - 4 ) ^{2}}

ln (y - 46.63 (e^{- k (x - o)}))

\frac{x ^{4} + x ^{3} + x ^{2} - x}{( x + 1 ) ( x ^{2} + 1 )}

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