/*! 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 39 Find each product. $$(x+5 y)(7... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 39

Find each product. $$(x+5 y)(7 x+3 y)$$

Short Answer

Expert verified
\((x+5y)(7x+3y)=7x^2+38xy+15y^2\)

Step by step solution

01

Apply the FOIL method

Using the FOIL method, each term in the first binomial should be multiplied by each term in the second binomial. Specifically: first terms in the binomial should be multiplied together (First), then the terms on the outside (Outside), then the terms on the inside (Inside), and finally, the last terms in the binomial should be multiplied together (Last). In other words, \(x*7x\), \(x*3y\), \(5y*7x\), \(5y*3y\).
02

Perform multiplication

So we get \(7x^2\), \(3xy\), \(35yx\), and \(15y^2\).
03

Simplify

Simplifying \(3xy\) and \(35yx\) (they are like terms because they have the same constituent variables), we get \(38xy\). So, the multiplication of the given two binomials becomes \(7x^2+38xy+15y^2\).

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 Exercises \(79-82,\) simplify each expression. Divide the sum of \((y+5)^{2}\) and \((y+5)(y-5)\) by \(2 y\)

Find each of the products in parts (a)-(c). a. \((x-1)(x+1)\) b. \((x-1)\left(x^{2}+x+1\right)\) c. \((x-1)\left(x^{3}+x^{2}+x+1\right)\) d. Using the pattern found in parts (a)-(c), find $(x-1)\left(x^{4}+x^{3}+x^{2}+x+1\right) without actually multiplying.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$(y-1)\left(y^{2}+y+1\right)=y^{3}-1$$

In Exercises \(79-82,\) simplify each expression. Divide the sum of \((y+4)^{2}\) and \((y+4)(y-4)\) by \(2 y\)

Perform the indicated computations. Express answers in scientific notation. $$\frac{\left(1.6 \times 10^{4}\right)\left(7.2 \times 10^{-3}\right)}{\left(3.6 \times 10^{8}\right)\left(4 \times 10^{-3}\right)}$$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Calculus

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.