What is expand (e^{-0.5x}(x+1))/(x(x+2)(x+3)) ?

The solution to expand (e^{-0.5x}(x+1))/(x(x+2)(x+3)) is (e^{-0.5x}x+e^{-0.5x})/(x^3+5x^2+6x)

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expand (e^{-0.5x}(x+1))/(x(x+2)(x+3))

expand

\frac{e ^{- 0.5 x} ( x + 1 )}{x ( x + 2 ) ( x + 3 )}

\frac{e ^{- 0.5 x} x + e ^{- 0.5 x}}{x ^{3} + 5 x ^{2} + 6 x}

Solution steps

\frac{e ^{- 0.5 x} ( x + 1 )}{x ( x + 2 ) ( x + 3 )}

Expand

x (x + 2) (x + 3) : x^{3} + 5 x^{2} + 6 x

= \frac{e ^{- 0.5 x} ( x + 1 )}{x ^{3} + 5 x ^{2} + 6 x}

Expand

e^{- 0.5 x} (x + 1) : e^{- 0.5 x} x + e^{- 0.5 x}

= \frac{e ^{- 0.5 x} x + e ^{- 0.5 x}}{x ^{3} + 5 x ^{2} + 6 x}

\frac{3 ( 3 3 - π )}{27 - π ^{2}}

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

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(2 + sin (θ))^{2} + cos^{2} (θ)

What is expand (e^{-0.5x}(x+1))/(x(x+2)(x+3)) ?
The solution to expand (e^{-0.5x}(x+1))/(x(x+2)(x+3)) is (e^{-0.5x}x+e^{-0.5x})/(x^3+5x^2+6x)