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Chapter 6: Q 168. (page 603)

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

25r2+60rs+36s2

Short Answer

Expert verified

The factor of the polynomial is 5r+6s2.

Step by step solution

01

Step 1. Given information.

Consider the given trinomial.

25r2+60rs+36s2

02

Step 2. Formula used 

The general formula for pefect square trinomial isa2+2ab+b2=a+b2.

03

Step 3. Find the factor of perfect square trinomial.

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

5r2+2路5r路6s+6s25r+6s2

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