Asked by Jennie McLean on May 16, 2024
Verified
Rewrite the expression (z−8) (12) ( z - 8 ) ( 12 ) (z−8) (12) using the Distributive Property.
A) 12z−2012 z - 2012z−20
B) 12z−9612 z - 9612z−96
C) z−96z - 96z−96
D) 13z+2013 z + 2013z+20
E) z−20z - 20z−20
Distributive Property
A property in algebra that allows for the multiplication of a single term and two or more terms inside a set of parentheses.
- Execute fundamental arithmetic functions, incorporating the application of the distributive property to streamline expressions.
Verified Answer
MA
Marbeth AponteMay 17, 2024
Final Answer :
B
Explanation :
Using the Distributive Property, we get:
(z−8)(12)=z(12)−8(12)=12z−96\begin{align*}(z-8)(12) &= z(12) - 8(12) \\&= 12z - 96\end{align*}(z−8)(12)=z(12)−8(12)=12z−96
Therefore, the best choice is B, which is equivalent to the given expression after applying the Distributive Property.
(z−8)(12)=z(12)−8(12)=12z−96\begin{align*}(z-8)(12) &= z(12) - 8(12) \\&= 12z - 96\end{align*}(z−8)(12)=z(12)−8(12)=12z−96
Therefore, the best choice is B, which is equivalent to the given expression after applying the Distributive Property.
Learning Objectives
- Execute fundamental arithmetic functions, incorporating the application of the distributive property to streamline expressions.