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Chapter 6: Q 167. (page 603)

In the following exercises, factor completely using the perfect square trinomials pattern.

49x2+28xy+4y2

Short Answer

Expert verified

The factor of the trinomial is7x+2y2.

Step by step solution

01

Step 1. Given information.

Consider the given trinomial.

49x2+28xy+4y2

02

Step 2. Formula used 

a2+2ab+b2=a+b2

03

Step 3. Find the factor of perfect square trinomial.

The middle term of the trinomial is positive, so the binomial square will be of the form a+b2.

7x2+2路7x路2y+2y27x+2y2

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