SOLUTION: simplify: [(x+3)/(x^2-x-2)}]

SOLUTION: simplify: [(x+3)/(x^2-x-2)}] - [(x+2)/(x-2)]

Question 105995: simplify:
[(x+3)/(x^2-x-2)}] - [(x+2)/(x-2)]

Found 2 solutions by Fombitz, shauna broeske:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

In order to add/subrtact fractions you need to have the same denominator.
The denominator of the first fraction

can be factored into

If I multiply the numerator and denominator of the second fraction by (x+1), then I can subtract.

Subtract numerators, same denominator.
Let's just look at the numerator now. Remember the denominator is
NUM= FOIL method (First, Outer, Inner, Last)
NUM= Simplify.
NUM= Distributive property.
NUM= Group like terms
NUM= Distributive property.
Now let's bring back the denominator
Final answer.

Answer by shauna broeske(4) (Show Source): You can put this solution on YOUR website!
I dont understand how to do it though.
could you teach me how?
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