Asked by Jennie McLean on May 16, 2024

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Rewrite the expression (z−8) (12) ( z - 8 ) ( 12 ) (z8) (12) using the Distributive Property.

A) 12z−2012 z - 2012z20
B) 12z−9612 z - 9612z96
C) z−96z - 96z96
D) 13z+2013 z + 2013z+20
E) z−20z - 20z20

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.
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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*}(z8)(12)=z(12)8(12)=12z96

Therefore, the best choice is B, which is equivalent to the given expression after applying the Distributive Property.