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Exercise

$\left(\frac{z^3+2z^2+1}{z^3}\right)$

Step-by-step Solution

1

Expand the fraction $\frac{z^3+2z^2+1}{z^3}$ into $3$ simpler fractions with common denominator $z^3$

$\frac{z^3}{z^3}+\frac{2z^2}{z^3}+\frac{1}{z^3}$
2

Simplify the fraction $\frac{z^3}{z^3}$ by $z^3$

$1+\frac{2z^2}{z^3}+\frac{1}{z^3}$
3

Simplify the fraction by $z$

$1+\frac{2}{z^{1}}+\frac{1}{z^3}$
4

Any expression to the power of $1$ is equal to that same expression

$1+\frac{2}{z}+\frac{1}{z^3}$

Final answer to the exercise

$1+\frac{2}{z}+\frac{1}{z^3}$

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