/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 43 Use a form of the distributive p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 43

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$6(x+3+2 y)$$

Short Answer

Expert verified
The algebraic expression \(6(x + 3 + 2y)\) can be rewritten without parentheses as \(6x + 18 + 12y\) using the distributive property.

Step by step solution

01

Identify individual terms within the parentheses

The individual terms inside the parentheses are \(x\), \(3\), and \(2y\).
02

Apply the Distributive Property

Now, multiply each term inside the parentheses by 6 using the distributive property. This gives the following: \(6 \cdot x + 6 \cdot 3 + 6 \cdot 2y\).
03

Simplify the Expression

Simplify the resulting expression by performing the multiplications: \(6x + 18 + 12y\)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Explain how to find the terms of the algebraic expression \(5 x-2 y-7\).

Simplify each series of additions and subtractions. $$-6-2+3-10$$

Simplify each series of additions and subtractions. $$-9-5+4-17$$

Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. The difference between 6 times a number and \(-5\) times the number.

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I found the variation in U.S. temperature by subtracting the record low temperature, a negative number, from the record high temperature, a positive number.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.