Question

Simplify the expression (2y^(3))/(xy-2y) and give your answer in the form of (f(x))/(g(x))

Answer 1

To simplify the expression (2y^3)/(xy-2y), factor out y from the denominator and then cancel out the common factor of y. The simplified expression is (2y^2)/(x-2).

Step-by-step explanation:

To simplify the expression (2y^3)/(xy-2y), first factor out y from the denominator:

(2y^3)/(xy-2y) = y(2y^2)/(y(x-2))

Next, cancel out the common factor of y:

(2y^2)/(x-2)

Therefore, the simplified expression is (2y^2)/(x-2).