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

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Answer 1 · 2016-08-05T21:53:22

$= 1/(x+5)$

Factorise the denominator as the difference of squares.

$((x-5))/((x+5)(x-5))$

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

$= 1/(x+5)$

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