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Chapter 7: Q 227. (page 867)

In the following exercises, factor.

64m2-16m+1

Short Answer

Expert verified

The factorization of 64m2-16m+1is,(8m-1)(8m-1).

Step by step solution

01

Step 1. Given information 

Given expression is64m2-16m+1.

02

Step 2. Write it as a square. 

(a)2=(8m)2 (b)2=(1)2

Check the middle term. Is it 2ab?

2ab=2(8m)(1)=16m

Yes, the middle term is equal to2ab.

03

Step 3. Write the square of the binomial. 

64m2-16m+1=(8m-1)2=(8m-1)(8m-1)

04

Step 4. Check by multiplying

(8m-1)(8m-1)=(8m-1)2=(8m)2-2(8m)(1)+(1)2=64m2-16m+1

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