Priya rewrites the expression 8y - 24 as 8 (y - 3). Han rewrites 8y - 24 as 2 (4y - 12). Are Priya's and Han's expressions each equivalent to 8y - 24? Explain your reasoning

They are equivalent

Step-by-step explanation:

Priya rewrites the expression 8y - 24 as 8 (y - 3).

Han rewrites 8y - 24 as 2 (4y - 12)

The two expressions are equivalent. This is reached by taking note of the fact that if the factorized form is expanded, they both give the same result.

In Priya's Version,

8 (y - 3) = (8 X y) - (8 X 3) = 8y-24

Likewise In Han's Version

2 (4y - 12) = (2 X 4y) - (2 X 12) = 8y-24

We can see from the bolded that our results are the same. Priya's Version is a fully factorized form while Han's Version can still be factorized further to get Priya's version.

i. e. 2 (4y - 12) = 2 X 4 (y-3) = 8 (y-3)