How do you simplify #(x-5)/(x^2-25)#?

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Answer 1

Aug 5, 2016

#= 1/(x+5)#

Factorise the denominator as the difference of squares.

#((x-5))/((x+5)(x-5))#

#(cancel(x-5))/((x+5)cancel(x-5))#

#= 1/(x+5)#