Marissa was asked to create an equivalent form of the rational expression 27h^8−18h^5+12h/3h. Which of the following is a correct equivalent form?(1 point)

Question

9h^8−6h^5+4h

9h^7−6h^4+4

9h^7−6h^4

Answer 1

To create an equivalent form of the rational expression (27h^8−18h^5+12h)/(3h), we can divide each term in the numerator by the denominator 3h:

27h^8/(3h) - 18h^5/(3h) + 12h/(3h)

Simplifying each term gives us:

9h^(8-1) - 6h^(5-1) + 4h^(1-1)

Which simplifies further to:

9h^7 - 6h^4 + 4

Therefore, the correct equivalent form is 9h^7 - 6h^4 + 4.