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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 6: Q 324. (page 742)

In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern.
$(x + \frac{3}{4}) (x - \frac{3}{4})$

Short Answer

Expert verified

The required answer is $x^{2} - \frac{9}{16}$ .

Step by step solution

01

Step 1. Given information.

The given expression is:

$(x + \frac{3}{4}) (x - \frac{3}{4})$

02

Step 2. Multiply using the product of conjugates pattern.

$(x + \frac{3}{4}) (x - \frac{3}{4}) = x^{2} - {(\frac{3}{4})}^{2} = x^{2} - \frac{9}{16}$

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