Remove the parentheses from the following expression: (2y + x)z. A. 2yz + xz \\B. \frac{2y}{z}...

Question:

Remove the parentheses from the following expression: {eq}(2y + x)z. {/eq}

{eq}A. 2yz + xz \\B. \frac{2y}{z} + \frac{x}{z} \\C. \frac{Z}{2y} + x \\D. 2y + x + z {/eq}

Distributive Property of Multiplication:

The distributive property of multiplication allows a sum to be multipied one at a time by a term and it is the same as getting the sum then multiplying it by the term, in the sense that {eq}a(b+c) = ab + ac {/eq}.

Answer and Explanation:

The answer is A. {eq}2yz + xz {/eq}

In order to remove the parentheses, the term {eq}z {/eq} has to be distributed or multiplied to each of the addends such that:

{eq}(2y+x)z = 2yz + xz {/eq}


Learn more about this topic:

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Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20
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