Question

Divide: 48xy4 - 72xy2

12xy2
A.


4xy2 - 6xy2

B.
4y2 - 6

C.
4xy - 6y

D.
4y - 6

Answer 1

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

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 2

Option D is answer.

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
`y^(2)` ,we have
`y^(2)` , and 1

so altogether we can take
`24xy^2` we have expression as

`(24xy^2(2y^2-3))/(12xy^2)`

on simplifying it ,we get

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