SOLUTION: hi. i need some help in performing this indicated operation and simplifying it: a^2 - a - 20/a^2

SOLUTION: hi. i need some help in performing this indicated operation and simplifying it: a^2 - a - 20/a^2 - 16 divided by a-5 thanks!

Question 190302: hi.
i need some help in performing this indicated operation and simplifying it:
a^2 - a - 20/a^2 - 16 divided by a-5
thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a^2 - a - 20/a^2 - 16 divided by a-5
-------------
Factor where you can to get:
= [(a-5)(a+4)]/[(a-4)(a+4)]/(a-5)
Invert the denominator and multiply to get:
= [(a-5)(a+4)]/[(a-4)(a+4)]
Cancel factors that are common to a numerator and a denominator
such as (a+4), (a-5)
= [1/(a-4)]
===============
Cheers,
Stan H.
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