Simplifing Rational Expressions - (3z^2+z)/(18z+6)

[Deo3560]

Ok, I've been stuck on this problem for a while now, unable to find out the reason behind the answer...

The Question is:

(3z^2+z)
(18z+6)

The Answer is:

z
6

The thing I dont understand, is where does the z added to the numerator and the 6 added to the denominator go, in all the calculators I've seen it just dissapears.

Please Help, I would greatly appreciate if you could show me the work so I can understand it for future purposes.

Thanks,
~~~Deo3560~~~

 

[Deo3560]

Oh, I can't believe I didnt see that, I was trying to eliminate it like this:

(3*z*z+z)
(3*3*2*z+6)

should have done this,

(z(3z+1))
(6(3z+1))

then cancel it out from there.

 

[galactus]

Factor z from the top and 6 from the bottom:

\(\displaystyle \frac{z(3z+1)}{6(3z+1)}=\frac{z}{6}\)

See now?. The 3z+1 cancels. Nothing just disappears for no reason.

 

[Deo3560]

Thank you

 

[mmm4444bot]

Nothing just disappears for no reason. Except socks.

 

[Deleted member 4993]

Re:

Nothing just disappears for no reason. Except socks.Socks you lose because you need to throw those at Monsters in the night..