Q 161. - Intermediate Algebra

Question

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

$36s^2+84s+49$

Step-by-Step Solution

Answer

The factor of given trinomial is ${\left(6s+7\right)}^2$.

Step 1. Given information

Consider the given trinomial $36s^2+84s+49$.

Step 2. Used formula

The general formula for pefect square trinomial is

$a^2+2ab+b^2={\left(a+b\right)}^2$

Step 3. Using the perfect square trinomial to find the complete factor.

$$\begin{gathered} {\left(6s\right)}^2+2·6s·7+{\left(7\right)}^2 \\ {\left(6s+7\right)}^2 \end{gathered}$$