Question

divide.
\\((15x^{4}z^{5} - 20x^{6}z^{5}) \div (-4x^{5}z^{3})\\)
simplify your answer as much as possible.

Explanation:

Step1: Split the division

$\frac{15x^4z^5}{-4x^5z^3} - \frac{20x^6z^5}{-4x^5z^3}$

Step2: Simplify first term

$\frac{15}{-4} \cdot x^{4-5} \cdot z^{5-3} = -\frac{15}{4}x^{-1}z^2 = -\frac{15z^2}{4x}$

Step3: Simplify second term

$\frac{-20}{-4} \cdot x^{6-5} \cdot z^{5-3} = 5x^{1}z^2 = 5xz^2$

Step4: Combine the results

$-\frac{15z^2}{4x} + 5xz^2$

Answer:

$-\frac{15z^2}{4x} + 5xz^2$