Question

$\frac{20m^{3}+16m^{2}+24m}{4m^{3}}$

Explanation:

Step1: Split the rational expression

$\frac{20m^3 + 16m^2 + 24m}{4m^3} = \frac{20m^3}{4m^3} + \frac{16m^2}{4m^3} + \frac{24m}{4m^3}$

Step2: Simplify each term

$\frac{20m^3}{4m^3} = 5$, $\frac{16m^2}{4m^3} = \frac{4}{m}$, $\frac{24m}{4m^3} = \frac{6}{m^2}$

Step3: Combine simplified terms

$5 + \frac{4}{m} + \frac{6}{m^2}$

Answer:

$5 + \frac{4}{m} + \frac{6}{m^2}$