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

Yes, Priya's and Han's expressions each equivalent to 8y-24 , using distributive property

Solution:

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

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

We have to find whether priya and han's expression are equivalent

Yes, their expressions are equivalent

We have to use the distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

The distributive property is represented as:

a(b + c) = ab + ac

Let us first rewrite the given expression using distributive property

Given expression is:

8y - 24

The common factors of 8 and 24 are 2, 4, and 8

Factor out 8 from given expression

8y - 24 = 8(y - 3)

Thus Priya expression is correct

Now factor out 2 from given expression

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

Thus Han expression is also correct