/*! 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 62 Find each product. In each case,... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 62

Find each product. In each case, neither factor is a monomial. $$(x-12)(x+8)$$

Short Answer

Expert verified
The product of the two binomials is \(x^2 -4x -96\).

Step by step solution

01

Distribute \(x\)

Distribute \(x\) from the first binomial to both terms in the second binomial. This gives \(x(x) + x(8) = x^2 + 8x\).
02

Distribute \(-12\)

Distribute \(-12\) from the first binomial to both terms in the second binomial. This gives \(-12(x) -12(8) = -12x - 96\).
03

Combine Similar Terms

Combine the expressions obtained in Step 1 and Step 2. This gives \(x^2 + 8x -12x - 96 = x^2 -4x -96\) .

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

In Exercises \(79-82,\) simplify each expression. $$\left(\frac{18 x^{2} y^{4}}{9 x y^{2}}\right)-\left(\frac{15 x^{5} y^{6}}{5 x^{4} y^{4}}\right)$$

Solve: \(8-6 x>4 x-12\)

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$5^{2} \cdot 5^{-2}>2^{5} \cdot 2^{-5}$$

Exercises \(110-112\) will help you prepare for the material covered in the next section. In each exercise, perform the long division without using a calculator, and then state the quotient and the remainder. $$1 9 \longdiv { 4 9 4 }$$

Perform the indicated operations. $$4 x^{2}\left(5 x^{3}+3 x-2\right)-5 x^{3}\left(x^{2}-6\right)$$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Discrete 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.