Chapter 7: Q. 427 (page 900)

Factor Differences of Squares
In the following exercises, factor.
$49 u^{3} - 9 u$

Short Answer

Expert verified

The factors for $49 u^{3} - 9 u = u (7 u + 3) (7 u - 3)$

Step by step solution

Step 1. Given information

The given differences of squares $49 u^{3} - 9 u$

Step 2. Finding the factors for given differences of squares

Take uas common from the given differences of squares as follows $49 u^{3} - 9 u = u (49 u^{2} - 9)$

We can find the factors as follows

Use the sum product pattern

$u (49 u^{2} - 9) = u (49 u^{2} - 21 u + 21 u - 9)$

Common factors from the two pairs

$u (7 u (7 u - 3) + 3 (7 u - 3))$

Rewrite in factored form

$u (7 u + 3) (7 u - 3)$

Therefore,the factors for $49 u^{3} - 9 u = u (7 u + 3) (7 u - 3)$

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.

Factor Differences of Squares
In the following exercises, factor.
$49 u^{3} - 9 u$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the factors for given differences of squares

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Factor Differences of SquaresIn the following exercises, factor.49u3-9u

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the factors for given differences of squares

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Factor Differences of Squares
In the following exercises, factor.
$49 u^{3} - 9 u$