SOLUTION: I need help simplifying this equation {{{x^2-9}}}/{{{2x+6}}}

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Question 310346: I need help simplifying this equation x%5E2-9/2x%2B6
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It's not an equation. For it to be an equation, there would have
to be an = sign somewhere.
It's called an algebraic expression
%28x%5E2+-+9%29%2F%282x+%2B+6%29
First, factor out 2 from the denominator
%28x%5E2+-+9%29%2F%282%2A%28x+%2B+3%29%29
You can rewrite this as:
%281%2F2%29%2A%28%28x%5E2+-+9%29%2F%28x+%2B+3%29%29
Now factor the numerator
%281%2F2%29%2A%28%28x+%2B+3%29%2A%28x+-+3%29%2F%28x+%2B+3%29%29
%281%2F2%29%2A%28x+-+3%29
%28x-3%29%2F2 answer
------------------
I can check by choosing any number for x like
x+=+11
%28x%5E2+-+9%29%2F%282x+%2B+6%29
%2811%5E2+-+9%29%2F%282%2A11+%2B+6%29
%28121+-+9%29%2F%2822+%2B+6%29
112%2F28
4
and for the answer:
%28x+-+3%29%2F2
%2811+-+3%29%2F2
8%2F2
4
OK