What is expand-z/(e^{z+1)(z-1)^2} ?

The solution to expand-z/(e^{z+1)(z-1)^2} is -z/(e^{z+1)z^2-2e^{z+1}z+e^{z+1}}

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expand-z/(e^{z+1)(z-1)^2}

expand

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

- \frac{z}{e ^{z + 1} z ^{2} - 2 e ^{z + 1} z + e ^{z + 1}}

Solution steps

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

(z - 1)^{2} = z^{2} - 2 z + 1

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

Expand

e^{z + 1} (z^{2} - 2 z + 1) : e^{z + 1} z^{2} - 2 e^{z + 1} z + e^{z + 1}

= - \frac{z}{e ^{z + 1} z ^{2} - 2 e ^{z + 1} z + e ^{z + 1}}

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

h^{^{'}} = 2 t^{2} - 3 e^{t}

f (x) = \frac{2}{x}, at x = 3

t^{- 1}

\frac{d}{d x} (x^{3} + 2)

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