Can You Simplify the Fraction 2h/h2 + 2h + 2 by Cancelling Out 2h?

[coolbeans33]

2h/h² + 2h + 2

does the 2h cancel out?

 

[SuperSonic4]

2h/h² + 2h + 2

does the 2h cancel out?

It's hard to see what you mean but I'm inclined to say the answer is no.

As you've written it we have:
\(\displaystyle \frac{2h}{h^2} + 2h + 2 = 2\left(\dfrac{1}{h} + h + 1\right)\)

but you can't cancel \(\displaystyle 2h\)

If you meant \(\displaystyle \frac{2h}{h^2+2h+2}\) then it won't cancel any further