Question

divide.
$\frac{20u^{7}-24u^{6}+32u^{4}}{4u^{3}}$
simplify your answer as much as possible.

Explanation:

Step1: Split the fraction

$\frac{20u^7 - 24u^6 + 32u^4}{4u^3} = \frac{20u^7}{4u^3} - \frac{24u^6}{4u^3} + \frac{32u^4}{4u^3}$

Step2: Simplify each term

$\frac{20}{4}u^{7-3} - \frac{24}{4}u^{6-3} + \frac{32}{4}u^{4-3}$

Step3: Compute coefficients and exponents

$5u^4 - 6u^3 + 8u$

Answer:

$5u^4 - 6u^3 + 8u$