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Partial fractions from a single fraction? watch

1. I've just started to study this and I'm stuck as hell on a question in my text book. I cannot for the life of me see how they get the answer they do. Can someone please explain the procedure?

The algebraic fraction is:

3x+9 / x2 + 8x + 12

When I work this out I get partial fractions of:

0.75 / x+2 + -0.25 / x+6 (the numerators are fractions themselves)

The answer given in the book is:

1/4 (3/x+2 + 9/x+6)

Oh... and can someone point me towards a tutorial for writing mathematical formula, fractions etc. correctly please? I know there's one on here somewhere but I can't find it now.
2. (Original post by Darwinion)
I've just started to study this and I'm stuck as hell on a question in my text book. I cannot for the life of me see how they get the answer they do. Can someone please explain the procedure?

The algebraic fraction is:

3x+9 / x2 + 8x + 12

When I work this out I get partial fractions of:

0.75 / x+2 + -0.25 / x+6 (the numerators are fractions themselves)

The answer given in the book is:

1/4 (3/x+2 + 9/x+6)

Oh... and can someone point me towards a tutorial for writing mathematical formula, fractions etc. correctly please? I know there's one on here somewhere but I can't find it now.
Well you've got the first fraction right anyway, so I assume you're making a mistake at some point when it comes to finding the numerator of the other fraction.

Means and

And since you know that then you can find since you know that from eq 1

http://www.thestudentroom.co.uk/wiki/LaTex
3. Thanks for that! I dunno what I was doing for calculating B. The way you laid it out quite clearly shows that

Yay... and I got the LaTex right That's gonna need some practice though.

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Updated: July 18, 2017
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