Question

Simplify:

xyz / (xy + yz + xz)

Answer 1

1/x+y

Answer 2

can you explain how you got that answer please?

Answer 3

is it correct?

Answer 4

xyz/xy+yz+xz=z/yz+xz=z/1*1/yz+xz=z/yz+xz=1/x+y

Answer 5

make sense?

Answer 6

Not really... I seems as though you canceled xy to get z/yz+xz but I thought that you can only cancel factors not terms

Answer 7

is the answer right?

Answer 8

I don't know.

Answer 9

Oh, then i'm not sure

Answer 10

i just

Answer 11

divided like terms throughou

Answer 12

there is nothing to "simplify"

Answer 13

you cannot divide term by term

Answer 14

need to know the answer to verify whom has correct approach

Answer 15

You have that \[\frac{xyz}{xy+yz+xz}=\frac{xyz}{x(y+z)+yz}\]
You can are correct that you can only cancel factors and not terms. Hence, although i have simplified the denominator slightly, there is no one common factoor on teh denominator and so no cancellation can occur.

An example of where you can cancel terms would be \[\frac{xyz}{xy+yz+xz}=\frac{2xy}{xy+xz}=\frac{x(2y)}{x(y+z)}=\frac{2y}{y+z}\]

Hope that clarifies matters for you

Answer 16

Sorry, how did you get \[2xy / xy + xz\] ?

Answer 17

OOPS! in the second equation/fractions I was trying to show you a DIFFERENT example of how factoring works, and I had copied and pasted. I did not mean to have the first fraction there but rather only \[\frac{2xy}{xy+xz}=\frac{2y}{y+z}\]
For your particular question, I do not see any way of simplifying beyond what you originally gave. Sorry

Answer 18

oh ok. Thank you