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Chapter 6: Q. 218 (page 604)

In the following exercises, factor completely.
36y2+12y+1

Short Answer

Expert verified

The factored form of the given expression is (6y+1)2.

Step by step solution

01

Step 1. Given information.

The given expression is:

36y2+12y+1

02

Step 2. Determine the factored form.

The given expression can be written as:
36y2+12y+1=62y2+2(6y)(1)+12=(6y)2+2(6y)(1)+12=(6y+1)2[鈭�(a+b)2=a2+2ab+b2]

03

Step 3. Conclusion.

The factored form of the given expression is (6y+1)2.

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