Simply by removing factors of 1
q^2-25/(q+5)^2
q+5 is a factor of both numerator and denomimator. You can cancel it out.
q^2-25 = (q+5)(q-5)
Thank you
You're welcome. I hope you got the answer to be
(q-5)/(q+5)
To simplify the expression (q^2-25)/(q+5)^2, you can start by factoring the numerator, which is the difference of two squares.
The numerator q^2-25 can be written as (q+5)(q-5).
Now, the expression becomes ((q+5)(q-5))/(q+5)^2.
To further simplify, you can cancel out the common factor of (q+5) in the numerator and denominator.
This gives you (q-5)/(q+5).
So, the simplified form of (q^2-25)/(q+5)^2 is (q-5)/(q+5).