step 1 In this problem, we're being asked to multiply negative 5 by the quantity of 8x plus 9. Well, to

Question

Multiply. $$ -5(8 x+9) $$

Name: Problem 38, Chapter 1: Elementary and Intermediate Algebra
Uploaded: 2020-04-12T17:56:06-08:00
Duration: 34 s
Channel: Julie Silva
Description: Multiply. -5(8 x+9)

   Multiply.
$$
-5(8 x+9)
$$

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 1, Problem 38

Instant Answer

Solved by Expert Julie Silva

04/12/2020

Step 1

We need to distribute the $-5$ to both terms inside the parentheses. Show more…

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Multiply. $$ -5(8 x+9) $$

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Key Concepts

Simplification of Algebraic Expressions

Simplifying algebraic expressions involves expanding, combining like terms, and reducing expressions to their simplest form. This process uses techniques such as distribution and careful handling of negative signs to manipulate and solve algebraic equations.

Multiplication of Negative Numbers

Understanding the rules of multiplying negative numbers is crucial. When you multiply a negative number by a positive number, the result is negative. This concept ensures that operations involving negatives are correctly applied in algebraic manipulations.

Distributive Property

The distributive property states that multiplying a single term by a sum within parentheses is equivalent to performing the multiplication on each addend and then adding the results together. This property is essential in algebra for expanding expressions and simplifying equations.

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