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:
 $\frac{x^2+x-6}{x^2-2x-15}$
 Factoring the numerator we have:
 $\frac{(x+3)(x-2)}{x^2-2x-15}$
 Factoring the denominator we have:
 $\frac{(x+3)(x-2)}{(x-5)(x+3)}$
 Canceling similar terms we have:
 $\frac{(x-2)}{(x-5)}$
 Answer:
 the folowing is equal to the rational expression when x is not equal to 5 or -3:
 $\frac{(x-2)}{(x-5)}$
 Note: it seems that the answer is not between the options given. Please check the options again and verify that they are well written.