Question

Consider the following.

30
x + 5
+
6x
x + 5
Do the expressions have the same denominator?
Yes
No
Correct: Your answer is correct.
Add the numerators of the rational expressions and write the result in factored form.

Add the rational expressions. Reduce the final answer.

Incorrect: Your answer is incorrect.

Answer 1

The expressions do not have the same denominator. To add or subtract fractions, they must have the same denominator.

Step-by-step explanation:

The expressions do not have the same denominator. In order to add or subtract fractions, they must have the same denominator. To find a common denominator, we need to factor the denominators and find the least common multiple (LCM) of the factors. In this case, the denominators are x + 5 and x + 5. The LCM is (x + 5). Therefore, we can rewrite the fractions with the common denominator:

30/(x + 5) + (6x)/(x + 5)

Now we can add the numerators:

(30 + 6x)/(x + 5)

Finally, we can simplify the expression as needed.