/*! 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 20 Find each product. $$(x-5)(x+3... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 20

Find each product. $$(x-5)(x+3)$$

Short Answer

Expert verified
\(x^2 - 2x - 15\)

Step by step solution

01

Apply FOIL Method - First

Multiply the first terms from each binomial. In this case, the first term \(x\) in the first binomial should be multiplied with the first term \(x\) in the second binomial, yielding \(x^2\).
02

Apply FOIL Method - Outer

Multiply the outer terms from each binomial. The outer terms are the first term from the first binomial and the second term from the second binomial, so \(x\) from the first binomial should be multiplied with \(3\) from the second binomial, yielding \(3x\).
03

Apply FOIL Method - Inner

Next, multiply the inner terms from each binomial. The inner terms are the second term from the first binomial and the first term from the second binomial, so \(-5\) from the first binomial should be multiplied with \(x\) from the second binomial, yielding \(-5x\).
04

Apply FOIL Method - Last

Finally, the last terms from each binomial are multiplied together. The last terms are the second terms in each binomial, so \(-5\) from the first binomial and \(3\) from the second binomial are multiplied together to give \(-15\).
05

Simplify

Combine any like terms from the previous steps. The middle terms \(3x\) and \(-5x\) combine to give \(-2x\). So, the full simplified expression is \(x^2 - 2x - 15\).

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

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(x^{4}-16\) is factored completely as \(\left(x^{2}+4\right)\left(x^{2}-4\right)\)

Explain how to simplify \(\sqrt{10} \cdot \sqrt{5}\)

In Exercises 132鈥�135, determine whether each statement makes sense or does not make sense, and explain your reasoning. The population of Colorado is approximately \(4.6 \times 10^{12}\)

How do you know if a number is written in scientific notation?

Explain how to convert from scientific to decimal notation and give an example.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Applied 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.