/*! 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 18 Find each product. $$(2 x-1)\l... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 18

Find each product. $$(2 x-1)\left(x^{2}-4 x+3\right)$$

Short Answer

Expert verified
The product of \((2x-1)\) and \(\left(x^{2}-4 x+3\right)\) is \(2x^3 -9x^2 + 4x -3\).

Step by step solution

01

Apply the FOIL Method

Use the FOIL method (First, Outer, Inner, Last) to multiply these two expressions. For the First elements: \(2x * x^2 = 2x^3\). For the Outer elements: \(2x * -4x = -8x^2\). For the Inner elements: \(-1 * x^2 = -x^2\). For the Last elements: \(-1 * -4x = 4x\) and \(-1 * 3 = -3\)
02

Combine like terms

Now, combine like terms to simplify the resulting expression. The terms -8x^2 and -x^2 combine to -9x^2, and the singular terms 4x and -3 can also be combined.
03

Write the final expression

Write the final simplified expression. From the previous steps, the simplified expression is: \(2x^3 -9x^2 + 4x -3\).

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

Evaluate each expression without using a calculator. $$27^{\frac{1}{3}}$$

Factor completely. $$ x^{2 n}+6 x^{n}+8 $$

Find all integers b so that the trinomial can be factored. $$ x^{2}+4 x+b $$

Explain how to add \(\sqrt{3}+\sqrt{12}\)

Will help you prepare for the material covered in the next section.Exercises \(144-146\) will help you prepare for the material covered in the next section. Factor the numerator and the denominator. Then simplify by dividing out the common factor in the numerator and the denominator. $$ \frac{x^{2}+6 x+5}{x^{2}-25} $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

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.