/*! 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 64 Write an equivalent expression b... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 64

Write an equivalent expression by factoring out a factor with a negative coefficient. $$ -6 y-72 $$

Short Answer

Expert verified
Factor out \-6 from the expression to get \(-6(y + 12)\).

Step by step solution

01

Identify the Common Factor

First, identify the common factor between the terms \( -6y \) and \( -72 \). Both terms contain a factor of \( -6 \).
02

Factor Out the Common Factor

Now, factor out \( -6 \) from both terms: \[ -6(y + 12) \]

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Factor:Both terms:Common . Write an expression:Negative coefficient:Common factor
Identifying a common factor is crucial in factoring algebraic expressions. A common factor is a number or variable that appears in each term of the expression. In our exercise, -6 is the common factor of both -6y and -72. Factoring out this common factor simplifies the expression: -6(y + 12).

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

Solve. Round any irrational solutions to the nearest thousandth. $$ x^{2}-3 x-7=0 $$

During the first 13 sec of a jump, a skydiver falls approximately \(11.12 t^{2}\) feet in \(t\) seconds. A small heavy object (with less wind resistance) falls about \(15.4 t^{2}\) feet in \(t\) seconds. Suppose that a skydiver jumps from \(30,000 \mathrm{ft}\), and 1 sec later a camera falls out of the airplane. How long will it take the camera to catch up to the skydiver?

Factor completely. Assume that variables in exponents represent positive integers. $$ x^{8}-2^{8} $$

Factor: $$ a x^{2}+2 a x+3 a+x^{2}+2 x+3 $$

Factor: $$ 5 x^{5}-5 x^{4}+x^{3}-x^{2}+3 x-3 $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

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.