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Chapter 5: Q. 285 (page 538)

Multiply the following:

x+2x-2y+7y-7w+5w-5

Explain the pattern that you see in your answers.

Short Answer

Expert verified

The product is x2-4y2-49w2-25

The pattern seen in the answers is the Product of Conjugates pattern.

Step by step solution

01

Step 1. Given Information

x+2x-2y+7y-7w+5w-5

02

Step 2. Multiply the conjugates

x+2x-2x2-4y+7y-7y2-49w+5w-5w2-25

These are conjugates. They have the same first numbers and the same last numbers, and one binomial is a sum and the other is a difference.

It fits the Product of Conjugates pattern.

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