Answer:
None of the choices are correct
Stefofp-by-step explanation:
Simplify the following:
(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)
Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:
(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)
(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):
(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)
Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):
x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)
3 - 1 = 2:
x^2 y^(2 - 1) (-2 y^2 + 3 x^5)
2 - 1 = 1:
Answer: x^2 y (-2 y^2 + 3 x^5)