/*! 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 19 Find each product. $$(x+7)(x+3... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 19

Find each product. $$(x+7)(x+3)$$

Short Answer

Expert verified
The product of the binomials \((x + 7)(x + 3)\) is \( x^2 + 10x + 21 \).

Step by step solution

01

Apply the FOIL Method - First

First, multiply the first terms in each binomial together. In this case, it would be \( x \) times \( x \) which equals \( x^2 \).
02

Apply the FOIL Method - Outer

Next, multiply the outer terms together. That would be \( x \) times \( 3 \) which equals \( 3x \).
03

Apply the FOIL Method - Inner

Then, multiply the inner terms together. This would be \( 7 \) times \( x \) which equals \( 7x \).
04

Apply the FOIL Method - Last

Lastly, multiply the last terms in each binomial together. So, \( 7 \) times \( 3 \) equals \( 21 \).
05

Combine Like Terms

Combine the like terms we got from the previous steps i.e., \( 3x \) and \( 7x \). So, \( 3x + 7x = 10x \). Our equation now looks like this: \( x^2 + 10x + 21 \).

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

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-4(x-y), \text { for } x=8 \text { and } y=3$$

Find the intersection of the sets. $$\\{1,2,3,4\\} \cap\\{2,4,5\\}$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I factored \(4 x^{2}-100\) completely and obtained \((2 x+10)(2 x-10)\)

Evaluate each algebraic expression for the given value or values of the variable(s). $$6+5(x-6)^{3}, \text { for } x=8$$

Find the union of the sets. $$\\{1,2,3,4\\} \cup\\{2,4,5\\}$$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Statistics

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.