What is expand ((6z^2-2z-1))/(((z-1)^3*(z+1))) ?

The solution to expand ((6z^2-2z-1))/(((z-1)^3*(z+1))) is (6z^2-2z-1)/(z^4-2z^3+2z-1)

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expand ((6z^2-2z-1))/(((z-1)^3*(z+1)))

expand

\frac{( 6 z ^{2} - 2 z - 1 )}{( ( z - 1 ) ^{3} \cdot ( z + 1 ) )}

\frac{6 z ^{2} - 2 z - 1}{z ^{4} - 2 z ^{3} + 2 z - 1}

Solution steps

\frac{6 z ^{2} - 2 z - 1}{( z - 1 ) ^{3} ( z + 1 )}

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

= \frac{6 z ^{2} - 2 z - 1}{( z ^{3} - 3 z ^{2} + 3 z - 1 ) ( z + 1 )}

Expand

(z^{3} - 3 z^{2} + 3 z - 1) (z + 1) : z^{4} - 2 z^{3} + 2 z - 1

= \frac{6 z ^{2} - 2 z - 1}{z ^{4} - 2 z ^{3} + 2 z - 1}

e^{x} (x^{2} - 6 x + 7)

\frac{s}{( s + b ) ^{2} + π}

(x + \frac{1}{2 x})^{14}

(x + 5 x y + 25 y) (x - 5 y)

16 (\frac{4}{5} x - \frac{3}{5} y)^{2}

What is expand ((6z^2-2z-1))/(((z-1)^3*(z+1))) ?
The solution to expand ((6z^2-2z-1))/(((z-1)^3*(z+1))) is (6z^2-2z-1)/(z^4-2z^3+2z-1)