Question

How do you evaluate `(6p + 13) ( 6p - 13)`?

Answer 1

See a solution process below:

Explanation:

Use this rule for quadratics:

`(color(red)(x) + color(blue)(y))(color(red)(x) - color(blue)(y)) = color(red)(x)^2 - color(blue)(y)^2`

Substituting gives:

`(color(red)(6p) + color(blue)(13))(color(red)(6p) - color(blue)(13)) = color(red)((6p))^2 - color(blue)(13)^2 = color(red)(36p^2) - color(blue)(169)`