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

1 Answer
Jun 16, 2018

Answer:

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#