Respuesta :

Answer:

The correct answer is B) 4y^2 - 6

Step-by-step explanation:

In order to find the answer, divide each term by the term on the bottom.

48xy^4/12xy^2 = 4y^2

-72xy^2/12xy^2 = -6

Now put those two together.

4y^2 - 6

Answer:

Option D is answer.

Step-by-step explanation:

Step 1 we find  the Highest common factor of the numerator  

which is obtained by taking minimum exponent of each term

since 48 and 72 both are divided by 24 and we get 2 and 3 after taking 24 common

and since its x which is common in both

highest common factor for y is [tex]y^{2}[/tex] ,we have [tex]y^{2}[/tex] , and 1

so altogether we can take [tex]24xy^2[/tex] we have expression as

[tex]\frac{24xy^2(2y^2-3)}{12xy^2}[/tex]

on simplifying it ,we get

2(2y-3) which can be written as 2y-6 after distributing 2 inside.