Does the (x+5) in( (x+5)-(2x-1))/(x+5) cancel out?

Question

fanduekisses · Answer

Or no since the 2x-1 is beibg subtracted?

solomonzelman · Answer

You question is:

$\color{#000000}{    \displaystyle   \frac{x+5-(2x-1)}{x+5}           }$

Right?

fanduekisses · Answer

Yes

solomonzelman · Answer

Then, no, it does not cancel out, because (as you said) 2x-1 is being subtracted.

fanduekisses · Answer

My intuition tells me no b it idk

fanduekisses · Answer

Oohhh great hehe

solomonzelman · Answer

You want to simplify it, correct?

mathmale · Answer

You have 2 terms in the numerator.  You cannot cancel one of them and not cancel the other.  So, the answer to your question is ... ?

solomonzelman · Answer

There are multiple things you can do in such case....
it all depends on your query/need.

solomonzelman · Answer

You can write it as a polynomial with a remainder (essentially preform long/synthetic division). Or, you can add like terms, and write the fraction ....

fanduekisses · Answer

Yes distribute them combine like terms

solomonzelman · Answer

Ok, so first you need to distribute/expand
-(2x-1)=?

mathmale · Answer

The question pertains to cancelling:  Is it or is it not possible in this situation?  No mathematical operations on the numerator will change that fact.

Either you can cancel the (x+5) or you cannot cancel the (x+5).  That's all this problem asks you to specify.

solomonzelman · Answer

Oh, that is exactly the question they are asking .... 
I have incorrectly read this.