Question

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

Answer 1

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:

`(color(red)(a) + color(blue)(b))(color(red)(a) - color(blue)(b)) = color(red)(a)^2 - color(blue)(b)^2`

Substituting `color(red)(3x)` for `color(red)(a)` and `color(blue)(2)` for `color(blue)(b)` gives:

`(color(red)(3x) + color(blue)(2))(color(red)(3x) - color(blue)(2)) => (color(red)(3x))^2 - color(blue)(2)^2 => 9x^2 - 4`