SOLUTION: what are all the steps what yuou factor x^2-25 ------ x+5

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Question 701082: what are all the steps what yuou factor
x^2-25
------
x+5
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
The numerator is the difference of two perfect squares. As such it factors into the sum and difference of the square roots of those two perfect squares, namely
(1) %28x%5E2-25%29 = %28x%2B5%29%2A%28x-5%29+
When this factored numerator is divided by (x+5), that factor "cancels" (x+5) in (1) leaving the solution
(2) x-5
Answer: %28x%5E2-25%29%2F%28x%2B5%29+=+%28x-5%29