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Chapter 6: Q. 223 (page 604)

In the following exercises, factor completely.

45n2+60n+20

Short Answer

Expert verified

The simplified expression is5(3n+2)2

Step by step solution

01

Step 1. Given Information 

The given expression is45n2+60n+20

02

Step 2. Calculation

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

45n2+60n+20=5(9n2+12n+4)=5((3n)2+2×3n×3+(2)2)=5(3n+2)2

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