Question

Question

Question

Marissa was asked to create an equivalent form of the rational expression 27h8−18h5+12h3h . Which of the following is a correct equivalent form?(1 point)
Responses

9h7−6h4
9 h superscript 7 baseline minus 6 h superscript 4 baseline

9h7−6h4+4
9 h superscript 7 baseline minus 6 h superscript 4 baseline plus 4

This rational expression does not have any equivalent forms.
This rational expression does not have any equivalent forms.

9h8−6h5+4h

Answer 1

9h8−6h5+4h

Answer 2

To create an equivalent form of the rational expression 27h^8 - 18h^5 + 12h^3h, we need to simplify it further.

First, let's factor out the common factor of h^3 from each term to simplify the expression:

27h^8 - 18h^5 + 12h^3h
= h^3(27h^5 - 18h^2 + 12)

Now, let's simplify the expression inside the parentheses:

27h^5 - 18h^2 + 12 = 9(3h^5 - 2h^2 + 4)

Therefore, the correct equivalent form of the rational expression is:
9h^3(3h^5 - 2h^2 + 4)

So, the answer is: 9h^3(3h^5 - 2h^2 + 4)

Answer 3

To find the equivalent form of the rational expression 27h^8 − 18h^5 + 12h^3h, we need to simplify the expression by factoring out the greatest common factor (GCF) from each term.

Looking at the terms, we can see that the GCF is h^3. By factoring out h^3, we get:

27h^8 − 18h^5 + 12h^3h = h^3(27h^5 − 18h^2 + 12)

So, the simplified equivalent form of the given rational expression is: 9h^3(3h^5 − 2h^2 + 4).
Therefore, the correct equivalent form from the given options is: 9h^7 − 6h^4 + 4.