SOLUTION: I am confused on how to solve this, can you please help? Thanks! {{{(3-v)/(v-8)-(4v-1)/(8-v)}}}

Algebra ->  Rational-functions -> SOLUTION: I am confused on how to solve this, can you please help? Thanks! {{{(3-v)/(v-8)-(4v-1)/(8-v)}}}      Log On


   

Question 146426: I am confused on how to solve this, can you please help? Thanks!
%283-v%29%2F%28v-8%29-%284v-1%29%2F%288-v%29
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
I am confused on how to solve this, can you please help? Thanks!

%283-v%29%2F%28v-8%29-%284v-1%29%2F%288-v%29
The denominators v-8 and 8-v are
reversed differences. So we must first change
one of the differences,
8-v
Write the second term first and the first term second:
-v%2B8
Factor out -1
-1%28v-8%29
or
-%28v-8%29
Now replace 8-v by -%28v-8%29
%283-v%29%2F%28v-8%29-%284v-1%29%2F%288-v%29
becomes
%283-v%29%2F%28v-8%29-%284v-1%29%2F%28-%28v-8%29%29
The second term becomes positive:
%283-v%29%2F%28v-8%29%2B%284v-1%29%2F%28v-8%29
The denominators are the same so
combine the numerators over the
common denominator.
%283-v%2B4v-1%29%2F%28v-8%29
%283v%2B2%29%2F%28v-8%29
Edwin