Question

How do you multiply `(3b-3c)^2`?

Answer 1

See the entire solution process below:

Explanation:

This expression can be rewritten as:

`(3b - 3c)(3b - 3c)`

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

`(color(red)(3b) - color(red)(3c))(color(blue)(3b) - color(blue)(3c))` becomes:

`(color(red)(3b) xx color(blue)(3b)) - (color(red)(3b) xx color(blue)(3c)) - (color(red)(3c) xx color(blue)(3b)) + (color(red)(3c) xx color(blue)(3c))`

`9b^2 - 9bc - 9bc + 9c^2`

We can now combine like terms:

`9b^2 + (-9 - 9)bc + 9c^2`

`9b^2 + (-18)bc + 9c^2`

`9b^2 - 18bc + 9c^2`