/*! 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 43 Find each product. $$(2 x+3)^{... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 43

Find each product. $$(2 x+3)^{2}$$

Short Answer

Expert verified
The product of the binomial \((2x+3)^2\), when expanded, is \(4x^2 +12x +9\).

Step by step solution

01

Identify the Terms

Identify \(a\) and \(b\) in the expression \((2x+3)^2\). Here, \(a = 2x\) and \(b = 3\).
02

Apply the Binomial Theorem

Use the binomial theorem, which states \((a + b)^2 = a^2 + 2ab + b^2\). Substituting \(a = 2x\) and \(b = 3\) we get, \((2x)^2 + 2*(2x)*(3) + (3)^2\).
03

Simplify the Expression

Evaluate each of the terms separately. You get \(4x^2 +12x +9\)
04

Write the Final Solution

Combine all of the terms to get the final solution, which is the expanded form of the binomial: \(4x^2 +12x +9\).

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

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$ \frac{1}{2}+\frac{2}{3} $$

Describe what it means to raise a number to a power. In your description, include a discussion of the difference between \(-5^{2}\) and \((-5)^{2}\)

a. Find \(\sqrt{16} \cdot \sqrt{4}\) b. Find \(\sqrt{16 \cdot 4}\) c. Based on your answers to parts (a) and (b), what can you conclude?

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

a. Simplify: \(21 x+10 x\) b. Simplify: \(21 \sqrt{2}+10 \sqrt{2}\)
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Mechanics 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.