/*! 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 41 Find the product. $$ (9.4 y-... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Problem 41

Find the product. $$ (9.4 y-5.1)(7.3 y-12.2) $$

Short Answer

Expert verified
The product of the given binomials is \(68.62y^2 - 151.91y + 62.22\).

Step by step solution

01

Apply the FOIL Method

First, distribute the first factors in both binomials: \(9.4y \times 7.3y\). Next, calculate the outer factors: \(9.4y \times -12.2\). After this, find the result of the inner factors: \(-5.1 \times 7.3y\). Lastly, determine the multiplication of the last factors: \(-5.1 \times -12.2\).
02

Perform the Calculations

Next is to compute the four individual multiplications. This results in: \(68.62y^2\), \(-114.68y\), \(-37.23y\) and \(62.22\).
03

Combine Like Terms

Observe that there are two middle terms that are similar. Add them together to arrive at a simpler expression. The end result is \(68.62y^2 - 151.91y + 62.22\).

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Algebraic Expressions
Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation. In our case, the product of two binomials we started with and the result we ended with are both algebraic expressions. These algebraic expressions play a pivotal role in algebra, allowing us to represent relationships and formulate equations we can solve.

An important thing to note is that while simplifying expressions by combining like terms, the structural integrity of the expression should remain intact. For example, variables should never be combined with constants in a sum or difference, as they are inherently different types of terms. The goal with algebraic expressions is to simplify them to a form that is easier to understand or use in further mathematical processes, which is why we use methods like FOIL and combine like terms.

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

Use factoring to solve the equation. Use a graphing calculator to check your solution if you wish. $$-\frac{4}{5} x^{2}-\frac{4}{5} x-\frac{1}{5}=0$$

Factor the expression. $$-16 w^{2}-80 w-100$$

Factor the expression. $$-3 k^{2}+42 k-147$$

Sketch the graph of the inequality. \(y-3 x \geq 2\)

Simplify the expression. $$\frac{-6 \sqrt{12}}{\sqrt{4}}$$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.