Chapter 7: Q. 422 (page 889)

Factor Differences of Squares
In the following exercises, factor.
$1 - 16 s^{2}$

Short Answer

Expert verified

The factors for $1 - 16 s^{2} = - 1 (4 s + 1) (4 s - 1)$

Step by step solution

Step 1. Given information

The given diffetences of squares $1 - 16 s^{2}$

Step 2. Finding the factors for given differences of squares

We can write it as $- 16 s^{2} + 1$

Take $- 1$ as common as followsrole="math" localid="1647715020645" $- 1 (16 s^{2} - 1)$

Now,We can find the factors as follows

Use the sum product pattern

role="math" localid="1647715041207" $- 1 (16 s^{2} + 4 s - 4 s - 1)$

Common factors from the two pairs

$- 1 (4 s (4 s + 1) - 1 (4 s + 1))$

Rewrite in factored form

$- 1 (4 s - 1) (4 s + 1)$

Therefore,the factors of $1 - 16 s^{2} = - 1 (4 s + 1) (4 s - 1)$

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Factor Differences of Squares
In the following exercises, factor.
$1 - 16 s^{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the factors for given differences of squares

One App. One Place for Learning.

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Factor Differences of SquaresIn the following exercises, factor.1-16s2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding the factors for given differences of squares

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Statistics

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Factor Differences of Squares
In the following exercises, factor.
$1 - 16 s^{2}$