What is expand (z^4-3z+6)/((z+1)^3) ?

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

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expand (z^4-3z+6)/((z+1)^3)

expand

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

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

Solution steps

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

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

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

\frac{( 1 - i ) ^{7}}{( 1 + i ) ^{9}}

\frac{26}{( x - 1 ) ( x + 1 )}

\frac{1}{25} (5 x sin (5 x) + cos (5 x)) + C

(x + 2)^{2}

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