# Factor the given expressions by grouping as illustrated in Example 10. x 2 y 2 + x y Data from Example 10 Factor: 2x 2y + ax ay. We see that there is no common factor

Factor the given expressions by grouping as illustrated in Example 10.

x^{2} − y^{2} + x − y

**Data from Example 10**

Factor: 2x − 2y + ax − ay.

We see that there is no common factor to all four terms, but that each of the first two terms contains a factor of 2, and each of the third and fourth terms contains a factor of a. Grouping terms this way and then factoring each group, we have

**Transcribed Image Text:**

## 2x - 2y + ax - ay = (2x - 2y) + (ax - ay) = 2(x - y) + a(x - y) = (x - y)(2 + a)

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**Related Book For**

## Basic Technical Mathematics

**ISBN:** 9780137529896

12th Edition

**Authors:** Allyn J. Washington, Richard Evans

**Question Details**

Chapter #

**6**- Factoring and FractionsSection: Exercises 6.1

Problem: 61

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