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Chapter 7: Q 230. (page 867)

In the following exercises, factor.

64x2-96x+36

Short Answer

Expert verified

The factorization of 64x2-96x+36 is,(8x-6)(8x-6).

Step by step solution

01

Step 1. Given information 

Given expression is64x2-96x+36.

02

Step 2. Write it as a square. 

(a)2=(8x)2 (b)2=(6)2

Check the middle term. Is it2ab?

2ab=(2)(8x)(6)=96x

Yes, the middle term is equal to2ab.

03

Step 3. Write the square of the binomial. 

64x2-96x+36=(8x-6)2=(8x-6)(8x-6)

04

Step 4. Check by multiplying 

(8x-6)(8x-6)=(8x-6)2=(8x)2-2(8x)(6)+(6)2 =64x2-96x+36

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