Question

Simplify the fraction

[(xy-zy)/y]*[(xw-xy)(yz-yw)]

Help! Can someone walk me through it?
Thank you!

Answer 1

what is
\[\frac{xy-zy}{y}\]

Answer 2

x-z ?

Answer 3

Yes

Answer 4

Now, you can factor the rest of it, but there's nothing to cancel.

Answer 5

\[xw - xy = ?\]

Answer 6

w-y?

Answer 7

\[x(w-y)\]

Answer 8

Oh right. And then the denominator on the right would be y(z-w), right?

Answer 9

\[yz - yw = ?\]

Answer 10

Yes.

Answer 11

Put it all together.

Answer 12

So then I have (x-z) * [(x(w-y))/(y(z-w))]. Right? If that makes sense..

Answer 13

You have to check it to be sure. Looks right to me.

Answer 14

Okay. Then do I distribute the (x-z) to the numerator on the right side?

Answer 15

I think that makes it less simple

Answer 16

Oh, so just leave it?

Answer 17

I think so.

Answer 18

Okay, thank you so much!!!