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Chapter 6: Q. 388 (page 635)

In the following exercises, factor completely using the difference of squares pattern, if possible.

81r2鈭�25

Short Answer

Expert verified

The Factored form of given polynomial is (9r-5)(9r+5).

Step by step solution

01

Step 1. Given Information

We are given a polynomial,

81r2鈭�25

The formula used for factoring using the difference of squares pattern is

a2-b2=(a+b)(a-b).

02

Step 2. Factorizing the polynomial

The given polynomial can be written as,

81r2-25=9r-52

Using a2-b2=(a+b)(a-b), we get

81r2-25=(9r-5)(9r+5)

03

Step 3. Checking the factorization by multiplying

Multiplying the factors, we get

(9r-5)(9r+5)=81r2-25(9r)2+5脳9r-5脳9r-52=81r2-2581r2-25=81r2-25LHS=RHS

Hence the factorization is correct.

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