What is expand (z*(3*z-1))/((z+1)*(z+2)) ?

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

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expand (z(3z-1))/((z+1)*(z+2))

expand

\frac{z \cdot ( 3 \cdot z - 1 )}{( z + 1 ) \cdot ( z + 2 )}

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

Solution steps

\frac{z ( 3 z - 1 )}{( z + 1 ) ( z + 2 )}

Expand

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

= \frac{z ( 3 z - 1 )}{z ^{2} + 3 z + 2}

Expand

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

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

\frac{0.002412 ( z + 2.51 )}{z}

(2 - \frac{2}{3} z)^{3}

\frac{\partial}{\partial y} ((z) (8 x yz - e^{z}))

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

\frac{4 ( - 2 x ^{2} + 24 x )}{( 7 x ^{2} - 2 x + 12 ) ^{2}}

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