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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.236. (page 537)

Multiply each pair of conjugates using the product of the conjugates pattern.
$(a b - 4) (a b + 4)$

Short Answer

Expert verified

The solution is $a^{2} b^{2} - 16$ .

Step by step solution

01

Step 1. Given information.

The given expression is $(a b - 4) (a b + 4)$ .

02

Step 2. Simplify the expression by using the difference of squares a+ba-b=a2-b2.

Solve it as follows:

$(a b - 4) (a b + 4) = {(a b)}^{2} - {(4)}^{2} 鈬� a^{2} b^{2} - 16$

03

Step 3. Simplified expression.

Hence, the required expression is $a^{2} b^{2} - 16$ .

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