/*! 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 7 Factor out the greatest common f... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 7

Factor out the greatest common factor. $$x(x+5)+3(x+5)$$

Short Answer

Expert verified
The factorized expression is \( (x+5)(x+3) \).

Step by step solution

01

Identify the Greatest Common Factor

In the expression \(x(x+5)+3(x+5)\), both terms \(x(x+5)\) and \(3(x+5)\) have \(x+5\) in common. Therefore, the GCF is \(x+5\).
02

Factor out the Greatest Common Factor

Now factor out the GCF \(x+5\) from both terms. This is done by dividing each term of the expression by \(x+5\) and then multiplying the result by \(x+5\). This gives us \(x+5\) multiplied by \(x+3\), which is \( (x+5)(x+3) \).

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

Perform the indicated operations. $$(x-y)^{-1}+(x-y)^{-2}$$

Explain how to solve \(x^{2}+6 x+8=0\) using the quadratic formula.

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. The model \(P=-0.18 n+2.1\) describes the number of pay phones, \(P,\) in millions, \(n\) years after \(2000,\) so I have to solve a linear equation to determine the number of pay phones in 2010.

Will help you prepare for the material covered in the next section. Jane's salary exceeds Jim's by \(\$ 150\) per week. If \(x\) represents Jim's weekly salary, write an algebraic expression that models Jane's weekly salary.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

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.