# Factor the given expressions by grouping as illustrated in Example 10. 4p 2 q 2 + 2p + q

## Question:

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

4p^{2} − q^{2} + 2p + q

**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

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## Step by Step Answer:

**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: 62

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