Use the distributive law to multiply: 8(2y + 4z + 5)


Use the distributive law to multiply:

{eq}8(2y + 4z + 5) {/eq}

Distributive Property:

The distributive property states that the product of a number and a sum is equal to the sum of the product of each term.

Distributive Property can be illustrated better by the following formula.

{eq}a(x+b)=ax+ab {/eq}.

Answer and Explanation:

{eq}\begin{align*} 8(2y+4z+5)&=8(2y)+8(4z)+8(5)&\text{[Multiply using distributive property]}\\ &=16y+32z+40&\text{[Simplify]} \end{align*} {/eq}

Learn more about this topic:

Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20

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