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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

csc^{2} (x) (sec^{2} (x) - cos^{2} (x))

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

δ (x - y y_{2}), y_{2}

\frac{3 x ^{2} + x ^{4}}{x ^{5}}

, 4 ((\frac{1}{2}) + i (\frac{3}{2}))

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