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Chapter 7: Q 261 (page 867)

In the following exercises, factor.:

64a2-25

Short Answer

Expert verified

The factorization of the expression is(8a+5)(8a-5)

Step by step solution

01

Step 1. Given information

Given expression is64a2-25

02

Step 2. Write the expression as the difference of square.

64a2-25=(8a)2-(5)2

03

Step 3. Use formula a2-b2=(a+b)(a-b)

(8a)2-(5)2 =(8a+5)(8a-5)

04

Step 4. Check

(8a+5)(8a-5)=64a2+40a-40a-25=64a2-25

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