Question

Which of the folowing is equal to the rational expression when x is not equal to 5 or -3? x^2+x-6/x^2-2x-15

a. x-2/x+3
b.x-2/x+5
c. x+3/x-5
d. x-6/x-5
help fast I need answer for apex

Answer 1

For this case we have the following expression:

`(x^2+x-6)/(x^2-2x-15)`
Factoring the numerator we have:

`((x+3)(x-2))/(x^2-2x-15)`
Factoring the denominator we have:

`((x+3)(x-2))/((x-5)(x+3))`
Canceling similar terms we have:

`((x-2))/((x-5))`
Answer:
the folowing is equal to the rational expression when x is not equal to 5 or -3:

`((x-2))/((x-5))`
Note: it seems that the answer is not between the options given. Please check the options again and verify that they are well written.