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Chapter 6: Q. 6.80 (page 610)

Factor completely:7xy5-7xy

Short Answer

Expert verified

The required factors are7xy(y2+1)(y-1)(y+1)

Step by step solution

01

Step 1. Given Information  

The given expression is7xy5-7xy

02

Step 2. Calculation 

We will factor the expression by taking the common factor outside the paranthesis and then apply the property.

7xy5-7xy=7xy(y4-1)=7xy((y2)2-12)=7xy(y2-1)(y2+1)=7xy(y2+1)(y-1)(y+1)

03

Step 3. Check

We will verify by multiplying the factors.

7xy(y2+1)(y-1)(y+1)=7xy(y2-1)(y2+1)=7xy((y2)2-12)=7xy(y4-1)=7xy5-7xy

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