• Support PF! Buy your school textbooks, materials and every day products Here!

Algebra expression problem

  • Thread starter roadworx
  • Start date
  • #1
21
0
Hi,

I have:

[tex] \frac{a}{b+a+s} + \frac{c*b}{(b+a+s)(c+s)}[/tex]

I can rearrange that to:

[tex]\frac{a-c}{b+a-c} * \frac{b+a}{b+a+s} + \frac{b}{b+a-c} * \frac{c}{c+s} [/tex]

Is this correct? If so, can someone tell me why the +s changes into a -c?
 

Answers and Replies

  • #2
mathman
Science Advisor
7,800
430
You should supply the steps. Also what are you trying to achieve?
A simpler expression is (ac + as + bc)/[(b + a + s)(c + s)].
 
  • #3
33,507
5,192
Hi,

I have:

[tex] \frac{a}{b+a+s} + \frac{c*b}{(b+a+s)(c+s)}[/tex]

I can rearrange that to:

[tex]\frac{a-c}{b+a-c} * \frac{b+a}{b+a+s} + \frac{b}{b+a-c} * \frac{c}{c+s} [/tex]

Is this correct? If so, can someone tell me why the +s changes into a -c?
If your goal is to combine the two rational expressions, multiply the one on the left by 1 in the form of (c + s)/(c + s). That gives you the same denominator in both expressions, so you can then add the numerators.

A +s should not change to a -c.
 

Related Threads on Algebra expression problem

Replies
8
Views
940
  • Last Post
Replies
4
Views
2K
Replies
4
Views
12K
Replies
14
Views
4K
  • Last Post
Replies
2
Views
740
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
9
Views
2K
Replies
13
Views
3K
  • Last Post
Replies
1
Views
1K
Replies
14
Views
17K
Top