Question

How do you multiply `(3x-4)(x+1)`?

Answer 1

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis. See the full process below:

Explanation:

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

`(color(red)(3x) - color(red)(4))(color(blue)(x) + color(blue)(1))` becomes:

`(color(red)(3x) xx color(blue)(x)) + (color(red)(3x) xx color(blue)(1)) - (color(red)(4) xx color(blue)(x)) - (color(red)(4) xx color(blue)(1))`

`3x^2 + 3x - 4x - 4`

We can now combine like terms:

`3x^2 + (3 - 4)x - 4`

`2x^2 - x - 4`