Algebra-2

To divide and simplify the given rational expression:

 

Step 1: Rewrite the Division as Multiplication

We rewrite the division as multiplication by the reciprocal:

 

Step 2: Factor Each Expression

1.Numerator of the first fraction:

 

2.Denominator of the first fraction (already in factored form):

x + 2

 

3.Numerator of the second fraction (difference of squares):

 

4.Denominator of the second fraction:

 

Step 3: Substitute the Factored Forms

Substituting these factored forms into the expression gives:

 

Step 4: Simplify

Now we can simplify:

The (x + 2) in the numerator and denominator cancels out:

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