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# Maths C3 - Simplifying Algebraic Fractions...Help with tricky Question?

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1. Ok so I've just spent a long time trying to work out Exercise 1C question m from the Edexcel C3 Modular textbook. I managed to solve the answer but took so many steps to get it! There must be a quicker way to solve this question. The question is...

Question m..:

The steps I took to work out the answer are as follows...

...

...

...

...
2. (Original post by Philip-flop)
Ok so I've just spent a long time trying to work out Exercise 1C question m from the Edexcel C3 Modular textbook. I managed to solve the answer but took so many steps to get it! There must be a quicker way to solve this question. The question is...

Question m..:

The steps I took to work out the answer are as follows...

...

...

...

...
Use a common denominator of instead of
3. (Original post by NotNotBatman)
Use a common denominator of instead of
How did you figure out the common denominator so easily?
Please explain as I'm terrible at working out common denominators
4. (Original post by Philip-flop)
How did you figure out the common denominator so easily?
Please explain as I'm terrible at working out common denominators
When you had the original question, with the two fractions you can factorise both the quadratics on the bottom. Start with that and see where you can go.
5. (Original post by Philip-flop)
How did you figure out the common denominator so easily?
Please explain as I'm terrible at working out common denominators
You don't need as (x+2) is a factor of it's the same with numbers, you're looking for the lowest common multiple.
6. (Original post by Philip-flop)
How did you figure out the common denominator so easily?
Please explain as I'm terrible at working out common denominators
You just do it by inspection. Look what you need in order to make the denominators the same and that's it. Practice some more questions and you'll start to recognise them quicker.
7. Oh yeah, I think I was just having a daft moment. Here is my new answer...

Question m..:

...

...

...

Thank you everyone in this thread who helped. I'm really grateful. Took me a while to realise how stupid I was being :/
8. (Original post by Philip-flop)
How did you figure out the common denominator so easily?
Please explain as I'm terrible at working out common denominators
Seems you have a gap somewhere in your knowledge...

Watch these videos:

Never be afraid to revisit the basics...
9. (Original post by Naruke)
Seems you have a gap somewhere in your knowledge...

Watch these videos:

Never be afraid to revisit the basics...
Yes. You're probably right. As I'm self-taught it's likely I have missed something important

Thanks for the videos. I will check them out now
10. (Original post by NotNotBatman)
You don't need as (x+2) is a factor of it's the same with numbers, you're looking for the lowest common multiple.
Thank you so much for your help. I've realised that I need to top up on my knowledge of LCM.

(Original post by RDKGames)
You just do it by inspection. Look what you need in order to make the denominators the same and that's it. Practice some more questions and you'll start to recognise them quicker.
Thank you. You definitely helped me figure out my obvious mistake

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