Following an example and one step goes from (1 + 2x)/(1-x) to equalling -2 + 3/(1-x), how do they equal each other? i know it cant be partial fractions :s

Question

tyteen4a03 · Answer

Hint: turn -2 into a fraction with the denominator as (1-x).

anonymous · Answer

Cheers :)

anonymous · Answer

what is the methodology of that step? It's part of an integration question and i realise its to make it easy to integrate but how would i go about doing that for a similar equation?

tyteen4a03 · Answer

Integration...? I didn't study Calculus myself so I can't answer that question.

anonymous · Answer

It's cool, a bit of trial and error and i've found out how haha

amoodarya · Answer

|dw:1358150784743:dw|

amoodarya · Answer

if you know lim
care about that lim(x to infinity)  (1 + 2x)/(1-x)=-2

anonymous · Answer

Great explanation, thank you :)

amoodarya · Answer

your welcome