Question

How do you multiply `(3y + 5) ( 6y - 4w - 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)(3y) + color(red)(5))(color(blue)(6y) - color(blue)(4w) - color(blue)(6))` becomes:

`(color(red)(3y) xx color(blue)(6y)) - (color(red)(3y) xx color(blue)(4w)) - (color(red)(3y) xx color(blue)(6)) + (color(red)(5) xx color(blue)(6y)) - (color(red)(5) xx color(blue)(4w)) - (color(red)(5) xx color(blue)(6))`

`18y^2 - 12yw - 18y + 30y - 20w - 30`

We can now combine like terms:

`18y^2 - 12yw + (-18 + 30)y - 20w - 30`

`18y^2 - 12yw + 12y - 20w - 30`