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Chapter 7: Q. 422 (page 889)

Factor Differences of Squares

In the following exercises, factor.

1-16s2

Short Answer

Expert verified

The factors for1-16s2=-1(4s+1)(4s-1)

Step by step solution

01

Step 1. Given information

The given diffetences of squares 1-16s2

02

Step 2. Finding the factors for  given differences of squares

We can write it as -16s2+1

Take -1as common as followsrole="math" localid="1647715020645" -1(16s2-1)

Now,We can find the factors as follows

Use the sum product pattern

role="math" localid="1647715041207" -1(16s2+4s-4s-1)

Common factors from the two pairs

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

Rewrite in factored form

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

Therefore,the factors of1-16s2=-1(4s+1)(4s-1)

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