Marissa was asked to make an equivalent form of the rational expression, 27h^8 - 18h^5 + 12h/3h. which of the following is a correct equivalent form?
9h^7 - 6h^4 + 4
9h^7 - 6h^4
9h^8 - 6h^5 + 4h
this rational expression does not have any equivalent forms
The correct equivalent form is 9h^7 - 6h^4 + 4.
To find an equivalent form of the rational expression 27h^8 - 18h^5 + 12h/3h, we can simplify it by canceling out any common factors in the numerator and denominator.
First, let's simplify the numerator:
The highest common factor (HCF) of 27h^8, 18h^5, and 12h is 3h. By factoring out 3h from each term, we get:
3h(9h^7 - 6h^4 + 4)
Now, let's simplify the denominator:
The highest common factor (HCF) of 3h and 3h is also 3h.
Combining the simplified numerator and denominator, we have:
3h(9h^7 - 6h^4 + 4)/(3h)
The factor of 3h in the numerator cancels out with the denominator, simplifying to:
9h^7 - 6h^4 + 4
Therefore, the correct equivalent form of the rational expression is:
9h^7 - 6h^4 + 4
So, the answer is:
9h^7 - 6h^4 + 4
To find an equivalent form of the given rational expression, we can simplify the expression by factoring out any common factors in the numerator and denominator.
The given rational expression is:
(27h^8 - 18h^5 + 12h) / (3h)
To find the greatest common factor (GCF) of the terms in the numerator, we factor out 3h:
3h(9h^7 - 6h^4 + 4)
Now, the original expression is simplified to:
3h(9h^7 - 6h^4 + 4)
So, the correct equivalent form of the given rational expression is:
9h^8 - 6h^5 + 4h
Therefore the correct answer is:
9h^8 - 6h^5 + 4h