Question

How do you simplify `(x - 3)(10x - 20)`?

Answer 1

See a solution process below:

Explanation:

To simplify this expression multiply these two terms by multiplying each individual term in the left parenthesis by each individual term in the right parenthesis.

`(color(red)(x) - color(red)(3))(color(blue)(10x) - color(blue)(20))` becomes:

`(color(red)(x) xx color(blue)(10x)) - (color(red)(x) xx color(blue)(20)) - (color(red)(3) xx color(blue)(10x)) + (color(red)(3) xx color(blue)(20))`

`10x^2 - 20x - 30x + 60`

We can now combine like terms:

`10x^2 + (-20 - 30)x + 60`

`10x^2 + (-50)x + 60`

`10x^2 -50x + 60`