How do I simplify this fraction?

  • #1

Homework Statement




Simplify the following expression by rewriting it as a single simple fraction in simplest form:


LUZVL.gif




Homework Equations



not much just factoring and solving for P



The Attempt at a Solution



I tried to factor the fractions by multiplying the denominators with the numerators and after much writing on paper I came up with : (p+5)/(p^2-16) , I also came up with : (fp^2+p)/(p^3-16p)

I'm stumped here as to how much I have to factor or simplify or even even I did it right?
 

Answers and Replies

  • #2
75
0
You are right in the sense that you need a common denominator..

Would this help?

5/(p+4) - 5/p(p-2) + 4/(p-4)(p+4)
 
  • #3
it's supposed to be "5/p(p-4)" but I've done it with ALOT of writing, this stuff fills up your page fast doesn't it?
 
  • #4
75
0
Well if you got it, who cares? Haha
 
  • #5
Dick
Science Advisor
Homework Helper
26,260
619
it's supposed to be "5/p(p-4)" but I've done it with ALOT of writing, this stuff fills up your page fast doesn't it?
It can. But 5/(p(p-4)) isn't right. Putting p=1 in your original expression I get 12/5. Putting p=1 into 5/(p(p-4)) gives -5/3. That isn't right. Is there a typo?
 
  • #6
It can. But 5/(p(p-4)) isn't right. Putting p=1 in your original expression I get 12/5. Putting p=1 into 5/(p(p-4)) gives -5/3. That isn't right. Is there a typo?
I don't know dick but I got the answer figured out after doing some more thinking, if you guys want to see a solution just wolfram alpha it.. I didn't do it that way though..
 
  • #7
Mentallic
Homework Helper
3,798
94
I don't know dick but I got the answer figured out after doing some more thinking, if you guys want to see a solution just wolfram alpha it.. I didn't do it that way though..
Well I hope you didn't get 5/(p(p-4)) as the answer, because it's not right!
 
  • #8
symbolipoint
Homework Helper
Education Advisor
Gold Member
6,089
1,144
Lowest Common Denominator is [itex] p(p+4)(p-4)[/itex].

Multiply each rational term by 1 using the suitable factors from the LCD,
[itex]\frac{5}{(p+4)}\frac{p(p-4)}{p(p-4)}-\frac{5}{p(p-4)}\frac{p+4}{p+4}+\frac{4}{(p+4)(p-4)}\frac{p}{p}[/itex]

Perform the needed multiplications for the numerator and look for any further simplifications.
 
  • #9
Well I hope you didn't get 5/(p(p-4)) as the answer, because it's not right!
nono! I said that because somone else wrote the wrong thing and stuff.
 

Related Threads on How do I simplify this fraction?

  • Last Post
Replies
6
Views
2K
Replies
1
Views
4K
Replies
1
Views
615
  • Last Post
Replies
1
Views
2K
Replies
18
Views
1K
Replies
3
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
4
Views
2K
Top