How do you find the product of $(2x + 3) (x - 3)$ ?

Question

12941 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-11T02:00:06

See the entire solution process below:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

$(color(red)(2x) + color(red)(3))(color(blue)(x) - color(blue)(3))$ becomes:

$(color(red)(2x) xx color(blue)(x)) - (color(red)(2x) xx color(blue)(3)) + (color(red)(3) xx color(blue)(x)) - (color(red)(3) xx color(blue)(3))$

$2x^2 - 6x + 3x - 9$

We can now combine like terms:

$2x^2 + (-6 + 3)x - 9$

$2x^2 - 3x - 9$

How do you find the product of (2x + 3) (x - 3) (2x + 3) (x - 3) ?