Question

How to factor x^2-25/5-x?

Answer 1

do you know how to factor x^2 - 25
it is (a^2 - b^2) = (a+b)(a-b)

Answer 2

Yes! I can factor the top but not exactly sure what to do for the bottom. I have to put in the answer for an online class so it could be that im typing it in wrong

Answer 3

ok the bottom is the same as -(x+5) right

Answer 4

Yeah I have(x-5)(x+5) for the top

Answer 5

so you have

(x+5)(x-5)
---------
-(x+5)

Answer 6

now you can cancel the (x+5)

Answer 7

I have just 5-x under the bar like it was originally in the problem. How did you get
-(x+5)?

Answer 8

you have 5-x, which is the same as -x+5
which is the same as -(x-5)
and I'm sorry I put -(x+5) but the correct form is -(x+5)
when you take that out of the parenthesis -(x-5) you have -x+5

Answer 9

the correct form is as follows:

(x+5)(x-5)
----------
-(x-5)

Answer 10

Oh you're right! I overlooked that detail!Thanks so much, I get it now!

Answer 11

-(x-5) is the same as -x+5 which is the same as 5-x

Answer 12

so the end product would be
x+5
------
-1

Answer 13

correct, which is the same as -(x+5) or -x-5

Answer 14

Great, thanks so much!

Answer 15

yw :)

Answer 16

Oh wait one last question, haha sorry! Buuut... I have (x+5)(x-5)
__________
-(x+5)
I know that the x+5 cancels out and then I get
x+5
------
-1

but when I typed in my response it said that the answer is -x-5, which I know you mentioned something about -x-5 but I think I'm overthinking it so I just got confused!

Answer 17

Oh I figured out why, thanks again!