SOLUTION: I'm trying to simplify this ratonal expression. Can someone help me? The problem is 8x-10 over 10-8x. If anyone can help, I would deeply appreciate it. Thanks alot!

Algebra ->  Rational-functions -> SOLUTION: I'm trying to simplify this ratonal expression. Can someone help me? The problem is 8x-10 over 10-8x. If anyone can help, I would deeply appreciate it. Thanks alot!      Log On


   

Question 152252This question is from textbook Intermediate Algebra
: I'm trying to simplify this ratonal expression. Can someone help me?
The problem is 8x-10 over 10-8x. If anyone can help, I would deeply appreciate it. Thanks alot! This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%288x-10%29%2F%2810-8x%29 Start with the given expression.


%282%284x-5%29%29%2F%2810-8x%29 Factor 8x-10 to get 2%284x-5%29.


%282%284x-5%29%29%2F%28-2%284x-5%29%29 Factor 10-8x to get 2%285-4x%29=-2%284x-5%29.


Highlight the common terms



%28cross%282%29cross%28%284x-5%29%29%29%2F%28-cross%282%29cross%28%284x-5%29%29%29 Cancel out the common terms


-1 Simplify



So %288x-10%29%2F%2810-8x%29 simplifies to -1


In other words, %288x-10%29%2F%2810-8x%29=-1 where x%3C%3E5%2F4