Problem 44 $(-4 h)(-7 h)$... [FREE SOLUTION]

91影视

Elementary Algebra

Laura Bracken, Ed Miller

$Math Studyset 91影视 Explanations$ Math

1 Edition

Chapter 1: Problem 44

$(-4 h)(-7 h)$

Short Answer

Expert verified

The product is $28h^2$.

Step by step solution

Identify the terms

The given expression is $(-4h)(-7h)$. Identify the first term, $-4h$, and the second term, $-7h$.

Apply the multiplication rule for coefficients

Multiply the coefficients: $-4$ and $-7$. Remember that the product of two negative numbers is positive: $-4 \times -7 = 28$.

Multiply the variable parts

The variables in both terms are $h$. By multiplying them, you apply the rule $h \times h = h^2 $.

Combine the products

Combine the results from the previous steps to get the final product: $28h^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!

Key Concepts

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

Coefficients

In the expression $(-4 h)(-7 h)$, the numbers -4 and -7 are called coefficients. A coefficient is the numerical part of a term that is multiplied by a variable. In this exercise, the coefficients are -4 for the first term and -7 for the second term.

When multiplying expressions, you multiply the coefficients together as a separate step from the variables.

Here, you multiply $-4 \times -7 = 28$. It's important to handle coefficients correctly to avoid mistakes in calculations.

Variables

Variables are symbols used to represent unknown values. In the given expression $(-4 h)(-7 h)$, the variable is $h$.

When you multiply variables, you follow certain rules. The most important one is the rule of exponents: $h \times h = h^2$.

This rule states that multiplying a variable by itself results in raising the variable to the next higher power.

Product of Negative Numbers

Multiplying negative numbers can be tricky, but there's a straightforward rule: the product of two negative numbers is positive.

In the exercise $(-4 h)(-7 h)$, both coefficients (-4 and -7) are negative. When we multiply them, the result is positive: \-4 \times -7 = 28\.

This is because multiplying two negatives cancels each other out, resulting in a positive number.

Exponents

Exponents show how many times a number is multiplied by itself. In the expression $(-4 h)(-7 h)$, each term has the variable $h$ raised to the power of one (implicitly).

When you multiply $h \times h$, you add the exponents: $1+1 = 2$. This follows the rule $a^m \times a^n = a^{m+n}$.

So, $h \times h = h^2$. Therefore, the final expression becomes $28h^2$.

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

\((-4 h)(-7 h)\)

Short Answer

Step by step solution

Identify the terms

Apply the multiplication rule for coefficients

Multiply the variable parts

Combine the products

Key Concepts

Coefficients

Variables

Product of Negative Numbers

Exponents

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Geometry

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.