SOLUTION: Hello, I need help with simplifying this rational expression: x^2-100 over (x+10)^2

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Question 214784: Hello, I need help with simplifying this rational expression:
x^2-100 over (x+10)^2

Found 2 solutions by drj, stanbon:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify
%28x%5E2-100%29%2F%28x%2B10%29%5E2

Step 1. Rewriting the numerator using the difference of squares (x-10)(x+10)=x^2-10^2 and rewriting the denominator as follows yields,



Step 2. Canceling the (x+10) found in the numerator and denominator yields

%28x%5E2-100%29%2F%28x%2B10%29%5E2=%28x-10%29%2F%28x%2B10%29 ANSWER

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Hello, I need help with simplifying this rational expression:
x^2-100 over (x+10)^2
----------------------
Factor the numerator:
[(x+10)(x-10)]/(x+10)^2
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Cancel the common factor of (x+10) to get:
---
(x-10)/(x+10)
===================
Cheers,
Stan H.