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