I am working on a stand-alone algebra book here and I can't seem to find the solution on the final answer provided in the back of the book. Onto the problem,
simplify the following equation:
(x-1)/[(x-5)(x-1)]
my solution:
(x-1)/[x-5)(x-1)]
= (x-1)
-------------
x^2-x-5x+5
= (x-1)
-----------
x^2-4x+5
this is the part where I get lost after that unfinished sequence, and if I invert them into multiplication, it would be something like this: (x-1) * (x^2-4x+5), which I believe wouldn't be the correct next step since the answer to that is nothing like what the book provided. Can anyone please help me determine the right solution? I would very much appreciate...
simplify the following equation:
(x-1)/[(x-5)(x-1)]
my solution:
(x-1)/[x-5)(x-1)]
= (x-1)
-------------
x^2-x-5x+5
= (x-1)
-----------
x^2-4x+5
this is the part where I get lost after that unfinished sequence, and if I invert them into multiplication, it would be something like this: (x-1) * (x^2-4x+5), which I believe wouldn't be the correct next step since the answer to that is nothing like what the book provided. Can anyone please help me determine the right solution? I would very much appreciate...