What is expand (3z^3)/((z-0.5)^4) ?

The solution to expand (3z^3)/((z-0.5)^4) is (3z^3)/(z^4-2z^3+1.5z^2-0.5z+0.0625)

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expand (3z^3)/((z-0.5)^4)

expand

\frac{3 z ^{3}}{( z - 0.5 ) ^{4}}

\frac{3 z ^{3}}{z ^{4} - 2 z ^{3} + 1.5 z ^{2} - 0.5 z + 0.0625}

Solution steps

\frac{3 z ^{3}}{( z - 0.5 ) ^{4}}

(z - 0.5)^{4} = z^{4} - 2 z^{3} + 1.5 z^{2} - 0.5 z + 0.0625

= \frac{3 z ^{3}}{z ^{4} - 2 z ^{3} + 1.5 z ^{2} - 0.5 z + 0.0625}

\frac{( x + h ) ^{2} + 2 ( x + h )}{h}

\frac{d y}{( y - 2 ) ( y + 2 )}

(x = 10,) (y = - 10)

\frac{d x}{( x ^{2} + 2 ) ^{2}}

e^{2 (2 x + l n (2))}

What is expand (3z^3)/((z-0.5)^4) ?
The solution to expand (3z^3)/((z-0.5)^4) is (3z^3)/(z^4-2z^3+1.5z^2-0.5z+0.0625)