Which expression is equivalent to(q4)-3/q-15 for all values of q where the expression is defined?

Question

answer choices
q27
1/q27
q3
1/q3

Show your work

Answer 1

To find the equivalent expression, we need to simplify the given expression first:

(q^4 - 3)/(q - 15)

Now, we can use the factor theorem to factor out the numerator:

(q - 1)(q^3 + q^2 + q + 3)/(q - 15)

Since q - 1 does not have a common factor with q - 15, we cannot simplify further. Therefore, the equivalent expression is:

(q^4 - 3)/(q - 15) = (q^4 - 3)/(q - 15)

Therefore, none of the answer choices provided are eqivalent to the given expression.