Question

question
find the quotient of $6x^{3}y^{3}-6x^{2}y^{2}-30xy$ divided by $6xy$.
answer attempt 1 out of 2

Explanation:

Step1: Split the polynomial division

$\frac{6x^3y^3 - 6x^2y^2 - 30xy}{6xy} = \frac{6x^3y^3}{6xy} - \frac{6x^2y^2}{6xy} - \frac{30xy}{6xy}$

Step2: Simplify each term

$\frac{6x^3y^3}{6xy}=x^2y^2$, $\frac{6x^2y^2}{6xy}=xy$, $\frac{30xy}{6xy}=5$

Step3: Combine simplified terms

$x^2y^2 - xy - 5$

Answer:

$x^2y^2 - xy - 5$