Question

what values of x make the two expressions below equal? (x+3)(x+8)/5(x+8) = x+3/5
a. all real numbers except -8
b. all real numbers except -3
c. all real numbers
d. all real numbers except -8 and -3

Answer 1

We can by simplifying the first expression:
$\frac{(x+3)(x+8)}{5(x+8)} = \frac{x+3}{5}$
I will asume that second exressin is $\frac{(x+3)}{5}$. Then the answer would be all number, because those two expressions are identical.
If we look at the expression you wrote in the question $x+3/5$, you can see that there are no numbers for which these two would be equal.
So the final answer is C.