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

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

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

expand

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

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

Solution steps

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

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

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

(5 x - 3) \cdot (5 x + 3)

(cos (θ) - (e^{θ}) sin (θ))^{2}

(3 x + \frac{π}{3}) \cdot (\frac{3 π}{4} - 2 x)

e^{x^{3}} (3 x^{2} y - x^{2}) d x + e^{x^{3}} d y

\frac{2 ( x + 11 )}{( x - 5 ) ( x + 3 )}

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