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Chapter 6: Q. 226 (page 604)

In the following exercises, factor completely.

x2+12x+36-y2

Short Answer

Expert verified

The simplified expression isx-6-yx-6+y

Step by step solution

01

Step 1. Given Information 

The given expression isx2+12x+36-y2

02

Step 2. Calculation   

We will find the factor of polynomial by using perfect square trinomial pattern,

x2+12x+36-y2=(x)2-2脳x脳6+(6)2-y2=(x-6)2-y2=((x-6)-y)((x-6)+y)=(x-6-y)(x-6+y)

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