You can put this solution on YOUR website! The technique for this when you have algebraic expressions is similar to what you would do if you had numbers. You have to make the common denominator. For example what if x is 8
You find a common denominator. The 5/11 is multiplied by 5/5 (which is 1)
and the 17/5 is multiplied by 11/11 (which is also 1)
The 212/55 does not simplify because 212 is not divisible by 11 or 5.
(215 is not divisible by 11 because 242 is divisible by 11, but 242-212 is 30 and 30 is not divisible by 11).
So you do the same thing with algebra. {x-3)/(x+3) gets multiplied by (x-3)/(x-3) which is 1 (unless x is 3) and (x+9)/(x-3) gets multiplied by (x+3)/(x+3) which is 1 (unless x is -3).
The next steps are:
1) Combine the two fractions into one fraction with denominator (x-3)(x+3)
2) Multiply out the terms in the numerator and denominator with FOIL or the distributive law
3) Simplify the numerator.
4) See if you can factor the numerator I guess.
You can now check this by trying x=8.
That is the same thing we got before, so this is the right answer.
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