Problem 26 Find each product. $$(2 x-5)(7... [FREE SOLUTION]

Chapter 0: Problem 26

Find each product. $$(2 x-5)(7 x+2)$$

Short Answer

Expert verified

The product of the two binomials $(2x - 5)(7x + 2)$ is $14x^2 - 31x - 10.$

Step by step solution

Identify the Terms of the Binomials

The terms of the first binomial, $2x - 5$, are $2x$ and $-5$. Similarly, the terms of the second binomial, $7x + 2$, are $7x$ and $2$.

Apply the FOIL Method

The FOIL method stands for First, Outer, Inner, and Last. It is used to multiply each term in the first binomial by each term in the second binomial. So, $(2x - 5) (7x + 2)$ equals $(2x * 7x) + (2x * 2) + (-5 * 7x) + (-5 * 2)$.

Simplify the Expression

To simplify the expression, you follow the order of operations, which is to multiply before adding or subtracting. Thus, you get $14x^2 + 4x - 35x - 10$. This can be further simplified to $14x^2 - 31x - 10$.

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

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Find each product. $$(2 x-5)(7 x+2)$$

Short Answer

Step by step solution

Identify the Terms of the Binomials

Apply the FOIL Method

Simplify the Expression

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Pure Maths

Logic and Functions

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.