What is expand (0.5z)/((z-0.5)(z-0.7)^2) ?

The solution to expand (0.5z)/((z-0.5)(z-0.7)^2) is (0.5z)/(z^3-1.9z^2+1.19z-0.245)

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expand (0.5z)/((z-0.5)(z-0.7)^2)

expand

\frac{0.5 z}{( z - 0.5 ) ( z - 0.7 ) ^{2}}

\frac{0.5 z}{z ^{3} - 1.9 z ^{2} + 1.19 z - 0.245}

Solution steps

\frac{0.5 z}{( z - 0.5 ) ( z - 0.7 ) ^{2}}

(z - 0.7)^{2} = z^{2} - 1.4 z + 0.49

= \frac{0.5 z}{( z - 0.5 ) ( z ^{2} - 1.4 z + 0.49 )}

Expand

(z - 0.5) (z^{2} - 1.4 z + 0.49) : z^{3} - 1.9 z^{2} + 1.19 z - 0.245

= \frac{0.5 z}{z ^{3} - 1.9 z ^{2} + 1.19 z - 0.245}

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What is expand (0.5z)/((z-0.5)(z-0.7)^2) ?
The solution to expand (0.5z)/((z-0.5)(z-0.7)^2) is (0.5z)/(z^3-1.9z^2+1.19z-0.245)