How do you do this problem ?

Question

Perform the indicated operation. Simplify if possible.

4x / x^2 - 8x + 15 - 12 / 8^2 - 8x + 15

4 / x - 5

4(x + 3) /( x - 3) ( x - 5 )

4 ( x - 3 ) / (x + 3 ) ( x - 5 )

4 / x - 3

Answer 1

4x / (x^2 -8x +15) - 12 / (x^2 - 8x + 15)

You already have a common denominator, so add the numerators
= (4x-12)(x^2 -8x +15)

Factor both the numerator and denominator.
= 4(x-3) / [(x-3)(x-5)]

Cancel the (x-3)'s
= 4/(x-5)

Answer 2

4x / (x - 5) (x - 3) - 12 (x - 5) (x - 3)
(4x - 12) / (x - 5) (x - 3)
4 (x - 3) / (x - 5) (x - 3)
4 / (x - 5)

Answer 3

you have to solve for x in each problem. set each problem equal to zero and then solve in from there.