SOLUTION: Simplify this expression and state any restrictions on the variables. X/4x-8 - x+1/x^2+2x-8. Note: these are both fractions

Algebra ->  Rational-functions -> SOLUTION: Simplify this expression and state any restrictions on the variables. X/4x-8 - x+1/x^2+2x-8. Note: these are both fractions       Log On


   

Question 841036: Simplify this expression and state any restrictions on the variables.
X/4x-8 - x+1/x^2+2x-8. Note: these are both fractions
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify this expression and state any restrictions on the variables.
X%2F%28%284x-8%29%29+-+%28%28x%2B1%29%29%2F%28%28x%5E2%2B2x-8%29%29
Factor
x%2F%284%28x-2%29%29+-+%28%28x%2B1%29%29%2F%28%28x%2B4%29%28x-2%29%29
common denominator 4(x-2)(x+4)
%28x%28x%2B4%29-+4%28x%2B1%29%29%2F%284%28x-2%29%28x%2B4%29%29 = %28x%5E2+%2B+4x+-+4x+-+4%29%2F%284%28x-2%29%28x%2B4%29%29 = %28x%5E2+-+4%29%2F%284%28x-2%29%28x%2B4%29%29
we have the difference of squares, cancel (x-2)
%28%28x-2%29%28x%2B2%29%29%2F%284%28x-2%29%28x%2B4%29%29 = %28%28x%2B2%29%29%2F%284%28x%2B4%29%29
x cannot = 2 or -4; (division by 0)
:
I try very hard to be absolutely correct, but mistakes happen, let me know if I
screwed this up please. ankor@att.net