How do you subtract \frac { 2x + 9} { x ^ { 2} - 7x + 12} - \frac { 2} { x - 3}?

1 Answer
Karis Y. ยท [eden]
May 6, 2017

(17)/(x-3)(x-4)

Explanation:

Factorise x^(2)-7x+12 to get (x-4)(x-3) so you have (2x + 9)/((x-4)(x-3))- ( 2)/ ( x - 3)
Now we have a common factor of (x-3) so the denominator and numerator of the second fraction has to multiply by (x-4) to have a same denominator.
So we have(2x + 9)/((x-4)(x-3))- ( 2x-8)/ (( x - 3)(x-4))
So we minus them to get (17)/((x-3)(x-4))

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