/*! 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 61 Find each product. In each case,... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 61

Find each product. In each case, neither factor is a monomial. $$(x-11)(x+9)$$

Short Answer

Expert verified
The product of \((x - 11)(x + 9)\) is \(x^2 -2x -99\).

Step by step solution

01

Multiply the First terms

Multiply the first terms in each binomial. Here, the first terms are \(x\) and \(x\), which when multiplied give \(x^2\).
02

Multiply the Outer terms

Next, multiply the outer terms. The outer terms are \(x\) and \(9\), which when multiplied give \(9x\).
03

Multiply the Inner terms

Then, multiply the inner terms. The inner terms are \(-11\) and \(x\), which when multiplied give \(-11x\).
04

Multiply the Last terms

Finally, multiply the last terms. The last terms are \(-11\) and \(9\), which when multiplied give \(-99\).
05

Add up all the resulting products

Add up all the values obtained from the previous steps: \(x^2 + 9x - 11x - 99\). Then combine like terms to simplify the expression

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

Find the absolute value: \(|-20.3| .\) (Section 1.3, Example 8)

In Exercises \(79-82,\) simplify each expression. Divide the sum of \((y+5)^{2}\) and \((y+5)(y-5)\) by \(2 y\)

Use a vertical format to find each product. $$\begin{aligned}&3 y^{3}+2 y^{2}+y+4\\\&y+3\end{aligned}$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I'm working with two monomials that I cannot add, although I can multiply them.

Explain how to multiply a monomial and a polynomial that is not a monomial. Give an example.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision 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.