Answer:
2/(x+7)
Step-by-step explanation:
x²+5x-14 factors as (x-2)(x+7)
SO - multiply the fraction on the right by x+7 (both top and bottom)
Then both have the same denominator (x-2)(x+7), and the 1 becomes x+7.
Then you combine the fractions to make ((3x+3)-(x+7))/(x-2)(x+7).
This becomes (2x-4)/(x-2)(x+7).
You can factor the 2 out of the numerator for 2(x-2).
You now have 2(x-2)/(x-2)(x+7)
The (x-2)’s cancel out and you are left with
2/(x+7)
