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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 8: Q1. (page 469)

Rewrite each expression using the Distributive Property. Then simplify.
$a (a + 5)$

Short Answer

Expert verified

$a (a + 5) = a^{2} + 5 a$

Step by step solution

01

Step 1. Write distributive property.

For any numbers a,b and c, $a (b + c) = a b + a c$ .

02

Step 2. Apply distributive property.

Apply distributive property to the given expression, $a (a + 5)$ .

$a \cdot a + a \cdot 5$

03

Step 3. Simplify.

Simplify the above obtained expression.

$a^{2} + 5 a$

Therefore, $a (a + 5)$ can be written using distributive property as $a^{2} + 5 a$ .

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Most popular questions from this chapter

State whether each sentence is true or false. If false, replace the underlined phrase or expression to make a true sentence.

$\underline{(x + 5) (x - 5)}$ is the factorization of a difference of squares.

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Rewrite each expression using the Distributive Property. Then simplify.

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