How do you multiply $(4x - 12) ( x + 3)$ ?

Question

579 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-07-21T02:48:25

See a 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.

$(color(red)(4x) - color(red)(12))(color(blue)(x) + color(blue)(3))$ becomes:

$(color(red)(4x) xx color(blue)(x)) + (color(red)(4x) xx color(blue)(3)) - (color(red)(12) xx color(blue)(x)) - (color(red)(12) xx color(blue)(3))$

$4x^2 + 12x - 12x - 36$

We can now combine like terms:

$4x^2 + (12 - 12)x - 36$

$4x^2 + 0x - 36$

$4x^2 - 36$

How do you multiply (4x - 12) ( x + 3) (4x - 12) ( x + 3) ?