SOLUTION: PLease help to simplify cx DIVIDED BY 1 - cx/c - x/c

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Question 66236This question is from textbook An incremental Development
: PLease help to simplify
cx
DIVIDED BY
1 - cx/c - x/c This question is from textbook An incremental Development

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

     æ     cx     x ö	
cx ũ į1 - ———— - ———ũ 
     č      c     c ø

Write the cx and the 1 over 1

 cx    æ 1     cx     x ö	
———— ũ į——— - ———— - ———ũ 
  1    č 1      c     c ø

The LCD in the parentheses is c.
The last two fractions already
have c for their denominators,
so multiply top and bottom of
1/1 by c:

 cx    æ 1·c     cx     x ö	
———— ũ į————— - ———— - ———ũ 
  1    č 1·c      c     c ø

 cx    æ c     cx     x ö	
———— ũ į——— - ———— - ———ũ 
  1    č c      c     c ø

Combine fractions in parentheses
all over the LCD of c

 cx    æ c - cx - x ö	
———— ũ į————————————ũ 
  1    č      c     ø

Invert the second fraction and
change the division to multiplication:

 cx    æ      c     ö	
———— Ũ į————————————ũ 
  1    č c - cx - x ø

Multiply numerators and denominators:

         cēx     
     ———————————— 
      c - cx - x 

Edwin