Question 214784
Simplify

{{{(x^2-100)/(x+10)^2}}}


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,


{{{(x^2-100)/(x+10)^2=((x-10)*(x+10))/((x+10)(x+10))}}}


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


{{{(x^2-100)/(x+10)^2=(x-10)/(x+10)}}}  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