Question

9x^8 y^2 - 6x^3 y^4 / 3xy


simplified

Answer 1

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)