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:

`((x+3)(x+8))/(5(x+8)) = (x+3)/(5)`
I will asume that second exressin is
`((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.