How do you simplify (3x + 2)(3x - 2) ?

Jun 16, 2018

See a solution process below:

Explanation:

This is the special form for a quadratic and can use this rule to multiply or simplify the expression:

$\left(\textcolor{red}{a} + \textcolor{b l u e}{b}\right) \left(\textcolor{red}{a} - \textcolor{b l u e}{b}\right) = {\textcolor{red}{a}}^{2} - {\textcolor{b l u e}{b}}^{2}$

Substituting $\textcolor{red}{3 x}$ for $\textcolor{red}{a}$ and $\textcolor{b l u e}{2}$ for $\textcolor{b l u e}{b}$ gives:

$\left(\textcolor{red}{3 x} + \textcolor{b l u e}{2}\right) \left(\textcolor{red}{3 x} - \textcolor{b l u e}{2}\right) \implies {\left(\textcolor{red}{3 x}\right)}^{2} - {\textcolor{b l u e}{2}}^{2} \implies 9 {x}^{2} - 4$