/*! 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 106 Explain how to square a binomial... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 106

Explain how to square a binomial difference. Give an example with your explanation.

Short Answer

Expert verified
To square a binomial difference like (a - b), three steps are followed: square the first term, subtract twice the product of the two terms, and then add the square of the second term. As per a given example: (x - 3)^2 = x^2 - 6x + 9.

Step by step solution

01

Understanding the Formula

The formula for squaring the difference of two binomials expressions is derived from the formula (a鈭抌)^2 = a^2 鈭� 2ab + b^2. This implies that when you square the difference of two terms, the resultant expression should contain three terms: the square of the first term, minus twice the product of the two terms, plus the square of the second term.
02

Applying formula to an example

Let's take a binomial difference (x - 3) and try to square it applying the formula explained above. So, (x - 3)^2 would result in x^2 - 2*x*3 + 3^2.
03

Calculating the Result

Solve the given operations in the last step. The result of (x - 3)^2 will be x^2 - 6x + 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

In each exercise, find the product. $$4 x^{3}\left(4 x^{2}-3 x+1\right)$$

The mad Dr. Frankenstein has gathered enough bits and pieces (so to speak) for \(2^{-1}+2^{-2}\) of his creature-to-be. Write a fraction that represents the amount of his creature that must still be obtained.

Perform the indicated computations. Express answers in scientific notation. $$\frac{\left(1.2 \times 10^{6}\right)\left(8.7 \times 10^{-2}\right)}{\left(2.9 \times 10^{6}\right)\left(3 \times 10^{-3}\right)}$$

In Exercises \(85-86,\) the variable \(n\) in each exponent represents a natural mumber. Divide the polynomial by the monomial. Then use polynomial multiplication to check the quotient. $$\frac{12 x^{15 n}-24 x^{12 n}+8 x^{3 n}}{4 x^{3 n}}$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. If \(5^{-2}\) is raised to the third power, the result is a number between 0 and 1
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

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.