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Chapter 6: Q. 225 (page 604)

In the following exercises, factor completely.

x2-10x+25-y2

Short Answer

Expert verified

The simplified expression is(x-y-5)(x+y-5)

Step by step solution

01

Step 1. Given Information 

The given expression isx2-10x+25-y2

02

Step 2. Calculation  

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

x2-10x+25-y2=x2-2脳x脳5+(5)2-y2=(x-5)2-y2=((x-5)-y)((x-5)+y)=(x-y-5)(x+y-5)

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