What is expand (e^{-x}-2e^{-2x})/((x^2)(x^2+4)) ?

The solution to expand (e^{-x}-2e^{-2x})/((x^2)(x^2+4)) is (e^{-x}-2e^{-2x})/(x^4+4x^2)

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expand (e^{-x}-2e^{-2x})/((x^2)(x^2+4))

expand

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

\frac{e ^{- x} - 2 e ^{- 2 x}}{x ^{4} + 4 x ^{2}}

Solution steps

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

Remove parentheses:

(a) = a

= \frac{e ^{- x} - 2 e ^{- 2 x}}{x ^{2} ( x ^{2} + 4 )}

Expand

x^{2} (x^{2} + 4) : x^{4} + 4 x^{2}

= \frac{e ^{- x} - 2 e ^{- 2 x}}{x ^{4} + 4 x ^{2}}

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

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

cos (t) h (t - π)

3 - 3 [3 - \frac{( 2 + ( - 5 ) )}{( 3 - 6 )}] - 2 [2 - (- 6)]

- \frac{50 x ^{4}}{( x ^{5} + 5 ) ( x ^{5} - 5 )}

What is expand (e^{-x}-2e^{-2x})/((x^2)(x^2+4)) ?
The solution to expand (e^{-x}-2e^{-2x})/((x^2)(x^2+4)) is (e^{-x}-2e^{-2x})/(x^4+4x^2)