SOLUTION: Divide and simplify...I have worked this problem and I'm not sure if I have done it correctly. r^2+5r/r^2+4r-5 divided by r/r+1 I came up with r+1/r-1 for an answer. Am I on the ri

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide and simplify...I have worked this problem and I'm not sure if I have done it correctly. r^2+5r/r^2+4r-5 divided by r/r+1 I came up with r+1/r-1 for an answer. Am I on the ri      Log On


   

Question 404141: Divide and simplify...I have worked this problem and I'm not sure if I have done it correctly. r^2+5r/r^2+4r-5 divided by r/r+1 I came up with r+1/r-1 for an answer. Am I on the right track?
(r^2+5r)(r+1)=(r+5)(r+1)=r+1*x(x+5)
(r^2+4r-5)=(r+5)(r-1)r=r-1*x(x-5)
I have gotten confused and need to know if I am on track. Thanks!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28r%5E2%2B5r%29%2F%28r%5E2%2B4r-5%29%29%2F%28r%2F%28r%2B1%29%29
Let's see, we will go thru it step-by-step
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Invert the dividing fraction and multiply
%28%28r%5E2%2B5r%29%2F%28r%5E2%2B4r-5%29%29 * %28r%2B1%29%2Fr
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Factor
%28r%28r%2B5%29%29%2F%28%28r%2B5%29%28r-1%29%29%29 * %28r%2B1%29%2Fr
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Cancel (r+5) and r, leaving
1%2F%28%28r-1%29%29 * %28r%2B1%29 = %28%28r%2B1%29%29%2F%28%28r-1%29%29; so you're absolutely right, way to go.
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But I am not sure about, what's meant here;
(r^2+5r)(r+1)=(r+5)(r+1)=r+1*x(x+5)
(r^2+4r-5)=(r+5)(r-1)r=r-1*x(x-5)
:
How did x get in there?