What is expand (k(z+0.5))/((z+1)(z-0.5)(z-1)) ?

The solution to expand (k(z+0.5))/((z+1)(z-0.5)(z-1)) is (kz+0.5k)/(z^3-0.5z^2-z+0.5)

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expand (k(z+0.5))/((z+1)(z-0.5)(z-1))

expand

\frac{k ( z + 0.5 )}{( z + 1 ) ( z - 0.5 ) ( z - 1 )}

\frac{k z + 0.5 k}{z ^{3} - 0.5 z ^{2} - z + 0.5}

Solution steps

\frac{k ( z + 0.5 )}{( z + 1 ) ( z - 0.5 ) ( z - 1 )}

Expand

(z + 1) (z - 0.5) (z - 1) : z^{3} - 0.5 z^{2} - z + 0.5

= \frac{k ( z + 0.5 )}{z ^{3} - 0.5 z ^{2} - z + 0.5}

Expand

k (z + 0.5) : k z + 0.5 k

= \frac{k z + 0.5 k}{z ^{3} - 0.5 z ^{2} - z + 0.5}

\frac{s + 2}{( s ^{2} + 4 s + 5 ) ^{2}}

\frac{9 x ^{2} - x ^{4}}{( 3 - x ^{2} ) ^{2}}

x (y^{6} + 1) d x + y^{2} (x^{4} + 1) d y

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

\frac{x}{( x + 1 ) \cdot ( x + 2 ) \cdot ( x + 3 )}

What is expand (k(z+0.5))/((z+1)(z-0.5)(z-1)) ?
The solution to expand (k(z+0.5))/((z+1)(z-0.5)(z-1)) is (kz+0.5k)/(z^3-0.5z^2-z+0.5)