SOLUTION: Simplify (1/25-1/x^2)divided by (1/5+1/x) I'm struggling with this one.

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Question 399016: Simplify
(1/25-1/x^2)divided by (1/5+1/x)
I'm struggling with this one.
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify
(1/25-1/x^2)divided by (1/5+1/x)
= %28%28x%5E2+-+25%29%2F25x%5E2%29%2F%28%28x%2B5%29%2F5x%29
= %28x%5E2-25%29%2F%285x%28x%2B5%29%29
= (x-5)/5x

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Start with the numerator. Apply the LCD ()



Apply the LCD in the denominator ()



Invert the denominator fraction and multiply:



Factor the numerator and denominator in the left hand fraction:



Eliminate factors common to both numerator and denominator:



And th-th-th-th-th-th-that's all folks.

John

My calculator said it, I believe it, that settles it
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