SOLUTION: Which of thge following expressions equals -1? (In parts A,B, and D, x=/ -4, and in part C, x=/ 4). A. (x-4)/(x+4); B. (-x-4)/(x+4) C. (x-4)/(4-x) D. (x-4)/(-x-4) Thank you

Algebra ->  Rational-functions -> SOLUTION: Which of thge following expressions equals -1? (In parts A,B, and D, x=/ -4, and in part C, x=/ 4). A. (x-4)/(x+4); B. (-x-4)/(x+4) C. (x-4)/(4-x) D. (x-4)/(-x-4) Thank you      Log On


   

Question 74902: Which of thge following expressions equals -1? (In parts A,B, and D, x=/ -4, and in part C, x=/ 4).
A. (x-4)/(x+4);
B. (-x-4)/(x+4)
C. (x-4)/(4-x)
D. (x-4)/(-x-4)
Thank you so much, I'll be waiting for your help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-x-4%29%2F%28x%2B4%29 If you look at B you can factor out a -1 from the numerator
%28-1%29%2Ahighlight%28x%2B4%29%2Fhighlight%28x%2B4%29Notice how we now have like terms of (x+4)
%28-1%29%2Across%28x%2B4%29%2Fcross%28x%2B4%29These terms divide and cancel to 1
%28-1%29%281%29=-1This is our simplified answer.
So %28-x-4%29%2F%28x%2B4%29=-1