/*! 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 24 Find each product. $$(7 x+4)(3... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 24

Find each product. $$(7 x+4)(3 x+1)$$

Short Answer

Expert verified
The product is \(21x^2+19x+4\)

Step by step solution

01

Distribute the terms in the first binomial

Multiply each term in the first binomial with each term in the second binomial. This provides \(7x*3x + 7x*1 + 4*3x + 4*1\)
02

Simplification

Simplify the expressions obtained in Step 1. For term \(7x*3x\) we get \(21x^2\), for \(7x*1\) we get \(7x\), for \(4*3x\) we get \(12x\), and for \(4*1\) we get \(4\)
03

Combine like terms

Combine similar terms in order to simplify the expression further. The term \(7x\) and \(12x\) are similar and can be added together to give \(19x\).
04

Write the final expression

Write the result from step 3 into a single expression to get the final answer. Hence, \(21x^2+19x+4\).

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

a. Use a calculator to approximate \(\sqrt{300}\) to two decimal places. b. Use a calculator to approximate \(10 \sqrt{3}\) to two decimal places. c. Based on your answers to parts (a) and (b), what can you conclude?

There are approximately \(3.2 \times 10^{7}\) seconds in a year. According to the United States Department of Agriculture, Americans consume 127 chickens per second. How many chickens are eaten per year in the United States? Express the answer in scientific notation.

Evaluate each exponential expression in $$\frac{x^{14}}{x^{-7}}$$

Simplify using properties of exponents. $$\left(25 x^{4} y^{6}\right)^{\frac{1}{2}}$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$7^{\frac{1}{2}} \cdot 7^{\frac{1}{2}}=49$$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

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.