Question

SOMEONE PLEASE HELP! Can someone show me how to work this out?

Answer 1

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)