How does the LHS of this equation = the RHS? I know it is EASY for you, but I don't get it!.
x / (x -1) =1 / ( x - 1) + 1. Thank you for help.
Look at the right side
1 / (x - 1) + 1
Note that we can write 1 as (x - 1) / (x -1)
And we have
1 / (x -1) + (x -1) / (x - 1) so we have a common denominator
So we have
[ 1 + ( x - 1) ] / ( x - 1) =
[ 1 + x - 1 ] / ( x - 1) =
x / (x - 1) = the left side
Thank you very much. I understand it now.