SOLUTION: Please perform the indicated operation: ((x^2 - x - 2)/(x^2 + 4x - 5)) / ((x - 2)/(5x + 25)) Thank you, Steve

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please perform the indicated operation: ((x^2 - x - 2)/(x^2 + 4x - 5)) / ((x - 2)/(5x + 25)) Thank you, Steve      Log On


   

Question 970928: Please perform the indicated operation:
((x^2 - x - 2)/(x^2 + 4x - 5)) / ((x - 2)/(5x + 25))
Thank you,
Steve
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
To be very brief,

%28a%2Fb%29%2F%28c%2Fd%29=%28a%2Fb%29%28d%2Fc%29=%28ad%29%2F%28bc%29

Follow that form.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please perform the indicated operation:
((x^2 - x - 2)/(x^2 + 4x - 5)) / ((x - 2)/(5x + 25))
Thank you,
Steve
%28%28x%5E2+-+x+-+2%29%2F%28x%5E2+%2B+4x+-+5%29%29%22%F7%22%28%28x+-+2%29%2F%285x+%2B+25%29%29


%28x+-+2%29%28x+%2B+1%29%2F%28x+%2B+5%29%28x+-+1%29%22%F7%22%28x+-+2%29%2F5%28x+%2B+5%29 ------ Factoring numerator and denominators

%28x+-+2%29%28x+%2B+1%29%2F%28x+%2B+5%29%28x+-+1%29%22%2A%225%28x+%2B+5%29%2F%28x+-+2%29 ------ Changing division to multiplication and inverting DIVISOR

cross%28%28x+-+2%29%29%28x+%2B+1%29%2Fcross%28%28x+%2B+5%29%29%28x+-+1%29%22%2A%225cross%28%28x+%2B+5%29%29%2Fcross%28%28x+-+2%29%29 ------ Cancelling numerators and denominators

5%28x+%2B+1%29%2F%28x+-+1%29

highlight_green%28%285x+%2B+5%29%2F%28x+-+1%29%29