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# C3 Algebraic Fractions

1. EXPRESS

(x-10)/((x-3)(x+4))-(x-8)/((2x-1)(x-3))

AS A SINGLE FRACTION IN ITS SIMPLEST FORM.

THANK YOU
2. HELP !!!!!
3. So what is the common denominator?
4. (X-3)
5. (Original post by Vinkal)
EXPRESS

(x-10)/((x-3)(x+4))-(x-8)/((2x-1)(x-3))

AS A SINGLE FRACTION IN ITS SIMPLEST FORM.

THANK YOU
In order to express this as a single fraction, you need both of the above terms to have a common denominator. You should be able to see that denominators of both terms already have a common factor of x-3. Try multiplying the first fraction by and the second by , thinking about why this is valid and why it helps.
6. 5

thank you

so i got (x-14)/((x+4)(2x-1)) can that be simplified or is it in its simplest form
7. (Original post by Vinkal)
thank you

so i got (x-14)/((x+4)(2x-1)) can that be simplified or is it in its simplest form
Cannot be simplified
8. (Original post by Vinkal)
thank you

so i got (x-14)/((x+4)(2x-1)) can that be simplified or is it in its simplest form
Since the numerator is linear whilst the denominator is a quadratic (importantly expressed in it's simplest form), this can only be simplified further if the numerator is some multiple of one of the two linear factors in the denominator. Is this the case?
9. (x-10)/((x-3)(x+4))-(x-8)/((2x-1)(x-3))

(X-10)(2X-1) (X-8)(X-3 )
(X-3)(X+4)(2X-1) - (X-3)(X+4)(2X-1)

(2X2-21X+10) (X2 -4X-32 )
(X-3)(X+4)(2X-1) - (X-3)(X+4)(2X-1)

(X2-17X+42)
(X-3)(X+4)(2X-1)

(X-3)(X-14)
(X-3)(X+4)(2X-1)

(X-14)
(X+4)(2X-1)
10. (Original post by Vinkal)
(x-10)/((x-3)(x+4))-(x-8)/((2x-1)(x-3))

(X-10)(2X-1) (X-8)(X-3 )
(X-3)(X+4)(2X-1) - (X-3)(X+4)(2X-1)

(2X2-21X+10) (X2 -4X-32 )
(X-3)(X+4)(2X-1) - (X-3)(X+4)(2X-1)

(X2-17X+42) (X-3)(X+4)(2X-1)

(X-3)(X-14) (X-3)(X+4)(2X-1)

(X-14) (X+4)(2X-1)
Hope that was not in response to my deleted post where I had made an error

To help in the future ... this gives fractions

12. (Original post by Vinkal)
If you quote my post with the fraction you will see
13. Thank you for your help duo
14. (Original post by TenOfThem)
If you quote my post with the fraction you will see

HOW
15. (Original post by Vinkal)
HOW
Click QUOTE for this post and you will see

16. or look here

http://www.thestudentroom.co.uk/wiki/LaTex
17. thank you once again

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