What is expand (0.5-1/z)/(z^3-1.3z^2+0.4z)*z/z ?

The solution to expand (0.5-1/z)/(z^3-1.3z^2+0.4z)*z/z is (0.5-1/z)/(z^3-1.3z^2+0.4z)

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expand (0.5-1/z)/(z^3-1.3z^2+0.4z)*z/z

expand

\frac{0.5 - \frac{1}{z}}{z ^{3} - 1.3 z ^{2} + 0.4 z} \cdot \frac{z}{z}

\frac{0.5 - \frac{1}{z}}{z ^{3} - 1.3 z ^{2} + 0.4 z}

Solution steps

\frac{0.5 - \frac{1}{z}}{z ^{3} - 1.3 z ^{2} + 0.4 z} \cdot \frac{z}{z}

Apply rule

\frac{a}{a} = 1

\frac{z}{z} = 1

= 1 \cdot \frac{- \frac{1}{z} + 0.5}{z ^{3} - 1.3 z ^{2} + 0.4 z}

Multiply:

\frac{0.5 - \frac{1}{z}}{z ^{3} - 1.3 z ^{2} + 0.4 z} \cdot 1 = \frac{0.5 - \frac{1}{z}}{z ^{3} - 1.3 z ^{2} + 0.4 z}

= \frac{0.5 - \frac{1}{z}}{z ^{3} - 1.3 z ^{2} + 0.4 z}

\frac{7 s ^{2} + 63 s + 134}{( s + 3 ) ( s + 4 ) ( s + 5 )}

\frac{a ( x + 1 ) ^{2} + b ( x ) ( x + 1 ) + c x}{x ( x + 1 ) ^{2}}

\frac{2 + v}{( v + 1 ) ( v + 4 )}

sin (x (π - \frac{π}{2 ^{x}}))

4 sin (\frac{π}{4} (x - 3)) + 6

What is expand (0.5-1/z)/(z^3-1.3z^2+0.4z)*z/z ?
The solution to expand (0.5-1/z)/(z^3-1.3z^2+0.4z)*z/z is (0.5-1/z)/(z^3-1.3z^2+0.4z)