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Chapter 6: Q. 674 (page 803)

Multiply Conjugates Using the Product of Conjugates Pattern

In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern.

(u+34v)(u-34v)

Short Answer

Expert verified

The value of the given conjugates(u+34v)(u-34)=u2-916v2

Step by step solution

01

Step 1. Given information

The given conjugates(u+34v)(u-34v)

02

Step 2. Multiplay the given conjugates

We can multiplay the given conjugate by using the property (a+b)(a-b)=a2-b2

Substitute uforaand 34vforb

Now,

(u+34v)(u-34v)=u2-34v2=u2-916v2

Therefore,the value of(u+34v)(u+34v)=u2-916v2

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