Which of these simpifications is correct?

[bill nye scienceguy!]

i have dy/dx = 2t/(12t^2+2t)

and i don't know whether the (2t) cancels out to give 1/(12t^2)

or if i should factorise it thus:

2t/(12t^2+2t) = t(2)/t(12t +2) = 2/12t + 2 = 1/(6t+2)

help please!

 

[neutrino]

2t/(12t^2+2t) = t(2)/t(12t +2) = 2/12t + 2 = 1/(6t+2)

It should be $$\frac{1}{6t+1}$$

 

[Cexy]

$$\frac{dy}{dx} = \frac{2t}{12t^2+2t} = \frac{2t}{2t(6t+1)} = \frac{1}{6t+1}$$

 

[bill nye scienceguy!]

whoops, well i meant to write 1/6t + <B>1</B>...

thanks!