Question

Find the quotient of

−
18
x
4
y
4
+
36
x
3
y
3
−
24
x
2
y
2
−18x
4
y
4
+36x
3
y
3
−24x
2
y
2
divided by
6
x
y
6xy.

Answer 1

Explanation:

To simplify the expression, we can factor out the common factor -6x²y² from each term in the numerator:

-6x²y²(3y² - 6xy + 4x²) / 6xy

We can cancel out the common factor of 6 in both the numerator and denominator:

- x²y(3y² - 6xy + 4x²) / xy

Now we can simplify the expression further by canceling out the common factor of xy in the numerator:

- x(3y² - 6xy + 4x²)

Thus, the quotient of the numerator and denominator is:

- x(3y² - 6xy + 4x²) / 6xy.