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Chapter 6: Q. 243 (page 613)

In the following exercises, factor completely.

m2+14mn+49n2

Short Answer

Expert verified

The required factors are(m+7n)2

Step by step solution

01

Step 1. Given Information

The given expression ism2+14mn+49n2

02

Step 2. Calculation

We will find the factors by using the perfect square trinomial pattern.

m2+14mn+49n2=(m)2+2脳m脳7n+(7n)2=(m+7n)2

03

Step 3. Check

We will verify the factors by multiplying the factors.

(m+7n)2=(m)2+2脳m脳7n+(7n)2=m2+14mn+49n2

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Factor by Grouping
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