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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. 271 (page 538)

In the following exercises, simplify the equation $(11 鈭� b) (11 + b)$ .

Short Answer

Expert verified

The simplified expression is $121 - b^{2}$ .

Step by step solution

01

Step 1. Given Information.

The expression is $(11 鈥� 鈭� 鈥� b) (11 鈥� + 鈥� b)$ .

02

Step 2. Simplify given equation.

Simplifying $(11 鈥� 鈭� 鈥� b) (11 鈥� + 鈥� b)$

Apply difference of two squares formula , we get:-

$(a - b) (a + b) = a^{2} - b^{2}$

$\begin{array}{rcl} (11 - b) (11 + b) & = & 11^{2} - b^{2} \\ 11^{2} - b^{2} & = & 121 - b^{2} \end{array}$

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