Need Help writing the following expression as a single fraction:

I've tried a few different ways but not getting near the answer in the book :?

Any help would be great!

Cheers

BIOS

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- September 28th 2010, 08:50 AMBIOSWriting Algebraic Expression as a Single Fraction
Need Help writing the following expression as a single fraction:

I've tried a few different ways but not getting near the answer in the book :?

Any help would be great!

Cheers

BIOS - September 28th 2010, 08:57 AMPlato
Factor: .

- September 28th 2010, 09:05 AMBIOS
Thanks for the reply Plato. I've tried that bit i think i'm messing up the step after that.

So say i have:

After that do i multiply like this:

- September 28th 2010, 09:06 AMBIOS
Thanks for the reply Plato. I've tried that bit i think i'm messing up the step after that.

So say i have:

After that do i multiply like this:

- September 28th 2010, 09:08 AMPlato
- September 28th 2010, 09:15 AMBIOS
Yeah sorry edited that post right after i posted it! Okay so from here where do i go? Haven't done one like this before so unsure what exactly is the best method.

- September 28th 2010, 09:21 AMPlato
Please reread my reply. I edited it.

It is correct now. - September 28th 2010, 09:26 AMBIOS
Okay yeah i can see i mistyped the factoring in the first denominator in the original post (the one you quoted). Still don't know where to go from there however. If i could see it done once that would be very helpful :)

- September 28th 2010, 09:49 AMBIOS
Do i do this and then cancel:

? - September 28th 2010, 09:54 AMPlato
- September 28th 2010, 10:07 AMBIOS
So once i have:

Do i look for a common factor ala:

The answer in the book is:

Which i can't see how to get.

If i divide x -2 into the numerator i don't get the numerator in the books answer?

Obviously i'm missing something! Thanks for your help and patience so far. - September 28th 2010, 03:27 PMQuacky
Factorise the top:

Now, take out a factor of -1 from the numerator:

And I'm sure you can finish. - September 29th 2010, 04:59 AMBIOS
Thanks Quacky! I really needed that explained. Should be able to get through to rest of these now :D