Question 1199682
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ALGEBRAIC FRACTIONS 
6-a-a^2 division a^2-4  is = -3+a division a+2 
 This is how I worked it out: 

numerator :(-3-a)(-2+a) factored

denominator : (a-2)(a+2) factored 

(-3-a)(-2+a) division (a-2)(a+2) 
(-2+a) is the same as (a-2) which would cancel with (a+2) 
so what is left is : 
(-3-a) division (a-2)  , as you can see the terms are the same as the answer except the signs in front of them . 
Why are the signs different ? Does it have to do with when I cancelled (a-2) with (a+2) ?
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In your post, you write  (in the  7-th line from the top)


        " (-2+a) is the same as (a-2)  which would cancel with  (a+2) ".  



                        Surely,  it is not so: 

it is a rude mistake  (actually,  even  TWO mistakes in one row)
that lead you to  WRONG  ANSWER.