multiply rational expression

G

Guest

Guest
I know I am close on this one.

x^2+6x+5 * x^4
x ................. 3x+3 (disregard the .. I was trying to line up the problem)

Factored out
(x+5)(x+1) * x^4
x..................3(x+1)

I cancel out the x+1's which leaves me with
(x+5) * x^4
x ............3

Now I can multiply x^4(x+5)
................................3x

Is there another step?
 
What is \(\displaystyle \, \frac{\, x^4 \, }{ \,x \, }\)?

[(x^4)/x if too small too read]
 
and remember bethany that x = x^1

Rule: x^a / x^b = x^(a - b)
 
Who makes up these rules??

Okay, so I can cancel out one of the x^4 and then multiply that by (x+5) to arrive at x^4 no hold on that won't work I would cancel out the x in the x+5 right? That would give me x^4+5 over 3 Better?
 
Correct; good work: you just about had it in your first post:
Now I can multiply x^4(x+5)
................................3x

The bottom x cancels out with x^4 becoming x^3:
Now I can multiply x^3(x+5)
................................3

That's it, over and out.

Unco was trying to tell you that x^4 / x = x^3

I was trying to tell you same thing:
x^4 / x = x^4 / x^1 = x^4(x^-1) = x^3
 
Oh sorry, I thought Unco couldn't read it because it was to small. I really should start visiting this site when I am more awake. I am usually pick up on stuff like that. Trying to do this right after getting out of bed (but before the kids get up) is difficult, as it after a long day at work etc.

I hate to admit this, but I am actually starting to like this I feel that I am making progress or maybe I just like all the attention. :)
 
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