SOLUTION: Simplify {{{(v-3)/(v-8)-(v+1)/(v+8)+(v-88)/(v^2-64)}}}

Algebra ->  Graphs -> SOLUTION: Simplify {{{(v-3)/(v-8)-(v+1)/(v+8)+(v-88)/(v^2-64)}}}       Log On


   

Question 132110: Simplify %28v-3%29%2F%28v-8%29-%28v%2B1%29%2F%28v%2B8%29%2B%28v-88%29%2F%28v%5E2-64%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28v-3%29%2F%28v-8%29-%28v%2B1%29%2F%28v%2B8%29%2B%28v-88%29%2F%28v%5E2-64%29 Start with the given expression


%28v-3%29%2F%28v-8%29-%28v%2B1%29%2F%28v%2B8%29%2B%28v-88%29%2F%28%28v-8%29%28v%2B8%29%29 Factor v%5E2-64 to get %28v-8%29%28v%2B8%29


Notice how the LCD is %28v-8%29%28v%2B8%29



Multiply the first fraction by %28v%2B8%29%2F%28v%2B8%29 to get the denominator to the LCD


Multiply the fractions

Multiply the second fraction by %28v-8%29%2F%28v-8%29 to get the denominator to the LCD



Multiply the fractions


%28%28v%2B8%29%28v-3%29-%28v-8%29%28v%2B1%29%2B%28v-88%29%29%2F%28v-8%29%28v%2B8%29 Combine the fractions


%28v%5E2%2B5%2Av-24-%28v%5E2-7%2Av-8%29%2B%28v-88%29%29%2F%28v-8%29%28v%2B8%29 Foil


%28v%5E2%2B5%2Av-24-v%5E2%2B7%2Av%2B8%2Bv-88%29%2F%28v-8%29%28v%2B8%29 Distribute the negative

%2813%2Av-104%29%2F%28v-8%29%28v%2B8%29 Combine like terms


13%28v-8%29%2F%28v-8%29%28v%2B8%29 Factor out the GCF 13


13cross%28%28v-8%29%29%2Fcross%28%28v-8%29%29%28v%2B8%29 Cancel like terms


13%2F%28v%2B8%29 Simplify






----------------------------------------------

Answer:


So %28v-3%29%2F%28v-8%29-%28v%2B1%29%2F%28v%2B8%29%2B%28v-88%29%2F%28v%5E2-64%29 simplifies to 13%2F%28v%2B8%29

In other words, where v%3C%3E8