Please explain #13, test 1, Section 3.

Yeah, this is a great question, right? 🙂

You’re given this:


You’re going to have to deal with it in two parts. First, get the bottom simplified. Step 1 is to multiply by some clever forms of 1 to get a common denominator:


Now multiply those fractions on the bottom. Your common denominator will be (x+2)(x+3)=x^2+5x+6.


Now that you’ve got a common denominator, add to get one big fraction on the bottom.



From there, all you need to remember is that when you divide by a fraction, you flip the divisor and multiply. In other words:



So there you have it—the answer is B.

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