Question

How do you find the product `(x-2)(x-2)`?

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)(x) - color(red)(2))(color(blue)(x) - color(blue)(2))` becomes:

`(color(red)(x) xx color(blue)(x)) - (color(red)(x) xx color(blue)(2)) - (color(red)(2) xx color(blue)(x)) + (color(red)(2) xx color(blue)(2))`

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

We can now combine like terms:

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

`x^2 - 4x + 4`