Chapter 7: Q 12. (page 819)

In the following exercises, find the greatest common factor.
$8 a^{2} b^{3}, 10 a b^{2}$

Short Answer

Expert verified

GCF is $2 a b^{2}$ .

Step by step solution

Step 1. Given information.

The given expressions are:

$8 a^{2} b^{3}, 10 a b^{2}$

Step 2. Find the GCF.

Factor each coefficient into primes and write the variables with exponents in expanded form.

$8 a^{2} b^{3} = 2 \cdot 2 \cdot 2 \cdot a \cdot a \cdot b \cdot b \cdot b 10 a b^{2} = 2 \cdot 5 \cdot a \cdot b \cdot b$

Bring down the common factors,

GCF is:

$= 2 \cdot a \cdot b \cdot b = 2 a b^{2}$

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, find the greatest common factor.
$8 a^{2} b^{3}, 10 a b^{2}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the GCF.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Statistics

Probability and Statistics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, find the greatest common factor.8a2b3,10ab2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the GCF.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Statistics

Probability and Statistics

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, find the greatest common factor.
$8 a^{2} b^{3}, 10 a b^{2}$