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Use the distributive property to remove the parentheses from this problem 8(x + 2)

Question:

Use the distributive property to remove the parentheses from this problem {eq}8(x + 2) {/eq}

Distributive Property

When we want to bring the terms inside parentheses outside them, we make use of the distributive property. This property tells us that the term(s) outside the parentheses needs to be multiplied by each of the terms inside the parentheses. The property is:

$$a(b+c)=ab+ac $$

Answer and Explanation:

Using the distributive property, the parentheses can be removed as shown below.

$$\begin{align} &8(x+2)\\ =&8*x+8*2&&&&\left [ \text{Using the distributive property: }a(b+c)=ab+ac \right ]\\ =&8x+16 \end{align} $$


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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