SOLUTION: Can someone help me divide this rational expression? x^2+2x-15/4x^2 Divided by x^2-25/2x-10 Thanks! I always have problems with these! ac

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone help me divide this rational expression? x^2+2x-15/4x^2 Divided by x^2-25/2x-10 Thanks! I always have problems with these! ac      Log On


   



Question 56233: Can someone help me divide this rational expression?
x^2+2x-15/4x^2 Divided by x^2-25/2x-10
Thanks! I always have problems with these!
ac

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+2x-15/4x^2 Divided by x^2-25/2x-10
Factor where you can:
[(x-5)(x+3)]/4x^2 divided by [(x-5)(x+5)]/2(x-5)
Cancel the (x-5)'s in the denominator to get:
[(x-5)(x+3)]/4x^2 divided by (x+5)/2
Now, invert the denominator and multiply to get:
[(x-5)(x+3)]/4x^2 multiplied by 2/(x+5)
Cancel the common factor of "2" to get:
[(x-5)(x+3)]/[2x^2(x+5)]
Cheers,
Stan H.