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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 8: Q2. (page 469)

Rewrite each expression using the Distributive Property. Then simplify.
$2 (3 + x)$

Short Answer

Expert verified

$2 (3 + x) = 6 + 2 x$

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, $2 (3 + x)$ .

$2 \cdot 3 + 2 \cdot x$

03

Step 3. Simplify.

Simplify the above obtained expression.

$6 + 2 x$

Therefore, $2 (3 + x)$ can be written using distributive property as $6 + 2 x$ .

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Most popular questions from this chapter

ARCHITECTURE The curve of the archway under a bridge can be modeled by the equation $y = - \frac{1}{5} x^{2} + 6 x$ , where $x$ and $y$ are measured in feet. Copy and complete the table for each value of $x$ .

Solve each equation. Check your solutions.

$16 d^{2} + 40 d + 25 = 9$

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

$x^{2} - 12 x + 36$ is an example of a perfect square trinomial.

Rewrite each expression using the Distributive Property. The simplify,

$- 6 (x^{2} - 5 x + 6)$

Factor each polynomial.

$x^{2} - 4 x - 21$

See all solutions

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