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Chapter 6: Q. 411 (page 636)

In the following exercises, factor completely

64j2+225.

Short Answer

Expert verified

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

(8j)2+(15)2

Step by step solution

01

Step 1. Given and explanation 

We have 64j2+225.

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

02

Step 2. Write the concept

For factoring we use the formula:

a2-b2=(a+b)(a-b)

03

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

64j2+225=(8j)2+(15)2

Therefore, sum of squares do not factor.

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