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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 237 (page 613)

In the following exercises, factor completely.
$121 r^{2} - s^{2}$

Short Answer

Expert verified

The required factors are $(11 r + s) (11 r - s)$

Step by step solution

01

Step 1. Given Information

The given expression is $121 r^{2} - s^{2}$

02

Step 2. Calculation

We will find the factors by using the property.

$121 r^{2} - s^{2} = {(11 r)}^{2} - s^{2} = (11 r + s) (11 r - s)$

03

Step 3. Check

We will verify the factors by multiplying the factors.

$(11 r + s) (11 r - s) = {(11 r)}^{2} - s^{2} = 121 r^{2} - s^{2}$

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Most popular questions from this chapter

Factor by Grouping In the following exercises, factor by grouping.

$a b + 5 a + 3 b + 15$

In the following exercises, factor.

$x^{3} + x^{2} - x - 1$ .

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$ .

$x^{2} - 8 x + 7$

Find the greatest common factors: $25 m^{4}, 35 m^{3}, 20 m^{2}$ .

In the following exercises, factor completely.

${(x + 1)}^{3} + 8 x^{3}$

See all solutions

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