Question

[y^2-2y/y^2+7y-18] X [y^2-81/y^2-11y+18]
Simplify the rational expression.

Answer 1

break the denominators off into factored squares, and cancel terms to simplify.

Answer 2

i did that and got y(y-9)/(x-2) (y+2)

Answer 3

polpak will help you out

Answer 4

\[\frac{y(y - 2)}{(y+9)(y-2)} * \frac{(y+9)(y-9)}{(y+9)(y+2)} \]

Answer 5

oh wait a sec.....on the bottom right i put (y-2) (y+2) for some reason. the rest i got right though.

Answer 6

hold on let me try this to see if i get it right

Answer 7

Leaves
\[\frac{y(y+9)}{(y+9)(y+2)} = \frac{y(y-9)}{(y+9)(y+2)}\]

Answer 8

Ok

Answer 9

polpak is riqht but i think u still have to cancel the terms

Answer 10

he did

Answer 11

ohhh yeah he did... i didnt see the equals siqn... sorry! :))

Answer 12

[y^2-2y/y^2+7y-18] factor you get
[y(y-2)/(y-2)(y+9)]cancel you get
y/(y+9)

[y^2-81/y^2-11y+18] factor you get
[(y+9)(y-9)]/[(y-2)(y-9)] cancel you get
(y+9)/(y-2)

now you can time;
[y/(y+9)]*[(y+9)/(y-2)]

[y^2+9y)]*[(y^2+7y-14)]
from here can you do your own?

Answer 13

would you get rid of y-2??? cuz thats the only way im getting the y(y+9)

Answer 14

you foil

Answer 15

time

Answer 16

[y/(y+9)]*[(y+9)/(y-2)] sorry time not divi
[y/(y+9)]*[(y+9)*(y-2)]

Answer 17

Whoops, was that a -11 in the denominator of the second fraction?

Answer 18

My font makes it hard to read those sometimes.

Lets try this again.

Answer 19

okay :D ha.

Answer 20

srry I wrong again,it hard to tye ,easy for me to write

Answer 21

\[\frac{y^2-2y}{y^2+7y-18} \times \frac{y^2-81}{y^2-11y+18}\]
\[ = \frac{y(y-2)}{(y+9)(y-2)} \times \frac{(y+9)(y-9)}{(y-9)(y-2)}\]
\[ = \frac{y}{(y+9)} \times \frac{(y+9)}{(y-2)}\]
\[ = \frac{y(y+9)}{(y+9)(y-2)} \]
\[= \frac{y}{y-2}\]

Answer 22

[y^2+9y)]*[(y^2+7y-14)]not this

[y^2+9y)]*[(y^2+7y-18)] this correct

Answer 23

While that's correct, yours can be simplified further Nancy.

Answer 24

Well correct assuming that by * you mean / that is.

Answer 25

ha okay thanks polpak and nancy i really appreciate your help!

Answer 26

Did you follow all that Carr?

Answer 27

The best strategy to use with these is to leave them factored as long as possible so you can quickly see what cancels.

Answer 28

yeah i got a little head of my self and put the wrong number but thank you both!

Answer 29

That's ok, I misread a negative so we all make mistakes ;)

Answer 30

yes still time
(y/y-2)*(y+9)(y-2)*[y^2-81/y^2-11y+18]

Answer 31

from here are you OK to do your own?
[y^2+9y)]*[(y^2+7y-18)]