/*! 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 1 Factor out the greatest common f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 1

Factor out the greatest common factor. $$18 x+27$$

Short Answer

Expert verified
The expression \(18x+27\) factored out is \(9(2x+3)\).

Step by step solution

01

Identify the GCF

The first step should be identifying the greatest common factor (GCF) for the numbers 18 and 27. In this case, the GCF is 9.
02

Factor out the GCF

Now that we've identified the GCF, the next step is to factor out this common factor from each term in the original expression. So, factor out 9 from \(18x + 27\), which gives \(9(2x + 3)\).
03

Verify the Result

Finally, to ensure our solution is correct, we can distribute the factored out number back into the parenthetical expression. So, multiplying 9 with each term in the brackets, \(9 * 2x => 18x\) and \(9 * 3 => 27\), we are back to the original expression. This confirms that the factoring is accurate.

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 simplify a rational expression.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I can check inequalities by substituting 0 for the variable: When 0 belongs to the solution set, I should obtain a true statement, and when 0 does not belong to the solution set. I should obtain a false statement.

What is the discriminant and what information does it provide about a quadratic equation?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. When checking a radical equation's proposed solution, I can substitute into the original equation or any equation that is part of the solution process.

Will help you prepare for the material covered in the first section of the next chapter. If \(y=4-x^{2},\) find the value of \(y\) that corresponds to values of \(x\) for each integer starting with -3 and ending with 3
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Calculus

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.