SOLUTION: What is the difference in simplest form? n^2+3n+2/n^2+6b+8

SOLUTION: What is the difference in simplest form? n^2+3n+2/n^2+6b+8 - 2n/n+4

Question 706951: What is the difference in simplest form?
n^2+3n+2/n^2+6b+8 - 2n/n+4
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
In the future, please put parentheses around multiple-term numerators and denominators. Without the parentheses it is difficult for us to determine what is in a numerator or denominator and what is in separate terms. What you posted meant:

which is probably not what you meant. Clearly expressed problems are more like to get quick responses.

I'm guessing you meant:

If this is correct then keep reading. If not then re-post your question using parentheses to make it clear.

First let's factor the numerators and denominators. This will help us:

find the lowest common denominator; and
possibly reduce some fractions

The numerator and denominator in the first fraction will each factor:

As we can see, there is a factor we can cancel in the first fraction:

leaving:

Not only did the first fraction reduce but we got common denominators at the same time! So we can proceed with the subtraction:

which simplifies to:

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