SOLUTION: Hello, I am asked in this set of homework problems to perform the indicated operations and simplify: 1- 2x-1/x^2-4 over (or divided by) 1+ 1/x-2 Translation: 1- (is out f

Question 92045: Hello,
I am asked in this set of homework problems to perform the indicated operations and simplify:
1- 2x-1/x^2-4 over (or divided by) 1+ 1/x-2
Translation:
1- (is out front of the equation) then 2x-1 is divided by x^2-4 then a larger division sign 1+ (is out front of the equation) then 1 divided by x-2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1- 2x-1/x^2-4 over (or divided by) 1+ 1/x-2
[1 -(2x-1)/(x^2-4)] / [1 + 1/(x-2)]
[[(x^2-4)-(2x-1)]/(x^2-4)] / [x-2+1]/(x-2)
= [[x^2-2x-3]/(x^2-4)] / [(x-1)/(x-2)]
Invert the denominator and multiply as follows:
= [(x-3)(x+1)/(x-2)(x+2)] * [(x-2)/(x-1)]
Cancel where you can to get:
= [(x-3)(x+1)]/[(x+2)(x-1)]
Cheers,
Stan H.
RELATED QUESTIONS
In my homework, I'm being asked to perform the indicated operation and to simplify: 1- (answered by ankor@dixie-net.com)

1. Perform the indicated operations and simplify:... (answered by MathLover1)

Perform indicated operations and simplify the result. Leave answer in factored form.... (answered by fractalier)

5x^2 + 21x + 4 over x^2 - 16 divided by 5x + 1 over x-2 these are fractions perform... (answered by jrfrunner)

Perform the indicated operations and simplify 1. 2x-3{x+2[x-(x+5)]+1} 2.... (answered by drk)

Perform the indicated operations and simplify. x^2/3x^2-5x52 - 2x/3x+1 * 1/x-2 (answered by nyc_function)

I have these problems and in need of help . Please explane and help me . Thanks .... (answered by jim_thompson5910)

Perform the indicated operations and simplify x-3 / x-9 - x+1 / x+9 + x-117 / x^2-81 (answered by vleith)