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C3 Algebraic Fractions

EXPRESS

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


AS A SINGLE FRACTION IN ITS SIMPLEST FORM.

THANK YOU:smile:
Reply 1
HELP !!!!!
So what is the common denominator?
Reply 3
(X-3)
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:smile:

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 2x12x1\dfrac{2x-1}{2x-1} and the second by x+4x+4\dfrac{x+4}{x+4}, thinking about why this is valid and why it helps.
Reply 5
5



thank you

so i got (x-14)/((x+4)(2x-1)) can that be simplified or is it in its simplest form
Reply 6
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
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?
Reply 8
(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)
(edited 11 years ago)
Reply 9
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 :frown:

To help in the future ... this gives fractions

x14(x+4)(2x1)\dfrac{x-14}{(x+4)(2x-1)}
Reply 10
How do you write fractions in your reply
Original post by Vinkal
How do you write fractions in your reply


If you quote my post with the fraction you will see
Reply 12
:smile:Thank you for your help duo
Reply 13
Original post by TenOfThem
If you quote my post with the fraction you will see



HOW
Original post by Vinkal
HOW


Click QUOTE for this post and you will see


ab\frac{a}{b}
Reply 16


thank you once again

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