Question

I have an image of the question :) please help.

Answer 1

Let's find the quotient of the first two terms:

`\begin{gathered} (-8x^2y^3)/(xy) \\ =-8xy^2 \end{gathered}`

The product of 4xy and WHAT should give us -8xy^2.

Let's call this WHAT as "A", so we can write:

`4xy(A)=-8xy^2`

To get this unknow, A, we can see that we have to divide -8xy^2 by 4xy, so

`\begin{gathered} 4xy(A)=-8xy^2 \\ A=(-8xy^2)/(4xy) \\ A=-2y \end{gathered}`

The unknown quantity is "-2y". From the drop-down, it's the