Question

How do you multiply `(5x - 5) ( 3x - 6)`?

Answer 1

See the entire solution 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)(5x) - color(red)(5))(color(blue)(3x) - color(blue)(6))` becomes:

`(color(red)(5x) xx color(blue)(3x)) - (color(red)(5x) xx color(blue)(6)) - (color(red)(5) xx color(blue)(3x)) + (color(red)(5) xx color(blue)(6))`

`15x^2 - 30x - 15x + 30`

We can now combine like terms:

`15x^2 + (-30 - 15)x + 30`

`15x^2 + (-45)x + 30`

`15x^2 - 45x + 30`