Chapter 6: Q. 411 (page 636)

In the following exercises, factor completely
$64 j^{2} + 225$ .

Short Answer

Expert verified

The expression is a sum of squares of numbers and not a factor.

${(8 j)}^{2} + {(15)}^{2}$

Step by step solution

Step 1. Given and explanation

We have $64 j^{2} + 225$ .

We can see that this forms a pattern of sum of squares of numbers.

Step 2. Write the concept

For factoring we use the formula:

$a^{2} - b^{2} = (a + b) (a - b)$

Step 3. Calculation

The above-mentioned formula can't be applied here as the given expression is the sum of the square of numbers i.e

$64 j^{2} + 225 = {(8 j)}^{2} + {(15)}^{2}$

Therefore, sum of squares do not factor.

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, factor completely
$64 j^{2} + 225$ .

Short Answer

Step by step solution

Step 1. Given and explanation

Step 2. Write the concept

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely64j2+225.

Short Answer

Step by step solution

Step 1. Given and explanation

Step 2. Write the concept

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, factor completely
$64 j^{2} + 225$ .