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Differentiation help plz watch

1. on the 3rd line to the 4th, how does the denominator completely remove 4-2 to leave it with only t+1/t^2?
2. (Original post by 0utdoorz)

on the 3rd line to the 4th, how does the denominator completely remove 4-2 to leave it with only t+1/t^2?
There is a mistake.

Revised 3rd line:

3. I see no reason for it to do so, unless 2+t^2 = t; is there some context missing?
ETA: still don't see a reason for it…
4. don't worry! I figured it out

sqrt(4+t^2-2+(1/t^2))
turns into
sqrt (t^2+2 +(1/t^2))
so sqrt ((t+1/t^2))
= t+(1/t)

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