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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.228. (page 537)

Multiply each pair of conjugates using the product of the conjugates pattern.
$(5 k + 6) (5 k - 6)$

Short Answer

Expert verified

The solution is $25 k^{2} - 36$ .

Step by step solution

01

Step 1. Given information.

The given expression is $(5 k + 6) (5 k - 6)$ .

02

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

Solve it as follows:

$(5 k + 6) (5 k - 6) = {(5 k)}^{2} - {(6)}^{2} 鈬� 25 k^{2} - 36$

03

Step 3. Binomial squares expression.

Hence, the binomial squares pattern are $25 k^{2} - 36$ .

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