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
9h8−6h5+4h
9 h superscript 8 baseline minus 6 h superscript 5 baseline plus 4 h
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.
9h7−6h4
+ 4
+ 4
To create an equivalent form of the given rational expression 27h^8 - 18h^5 + 12h^3h, we need to simplify the expression by factoring out the common factor if possible.
First, we can factor out h^3 from each term, since it is a common factor:
27h^8 - 18h^5 + 12h^3h
= h^3(27h^5 - 18h^2 + 12)
Now, we can simplify the expression further by dividing each term by the greatest common factor, which is 3:
= 3h^3(9h^5 - 6h^2 + 4)
Therefore, the correct equivalent form of the given expression is 9h^7 - 6h^4 + 4.