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Chapter 6: Q. 194 (page 603)

In the following exercises, factor completely using the difference of squares pattern, if possible.
m2-6m+9-16n2

Short Answer

Expert verified

The factored form of the given expression is(m-3-4n)(m-3+4n).

Step by step solution

01

Step 1. Given information.

The given expression is:
m2-6m+9-16n2

02

Step 2. Determine the factored form.

The given expression can be written as:
m2-6m+9-16n2=(m2-2(m)(3)+32)-42n2=(m-3)2-(4n)2鈭�(a-b)2=a2-2ab+b2=(m-3-4n)(m-3+4n)鈭�a2-b2=(a-b)(a+b)

03

Step 3. Conclusion.

The factored form of the given expression is(m-3-4n)(m-3+4n).

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