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)
9h^8−6h^5+4h
9h^7−6h^4+4
9h^7−6h^4
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.
To create an equivalent form of the rational expression (27h^8 - 18h^5 + 12h) / (3h), we can start by factoring out the greatest common factor from the numerator, which is 3h:
(3h) * (9h^7 - 6h^4 + 4)
Therefore, the correct equivalent form of the rational expression is 9h^7 - 6h^4 + 4. So, the correct answer is:
9h^7 - 6h^4 + 4.