Question

How do you find the product `(11z-5y)(3z+2y)`?

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)(11z) - color(red)(5y))(color(blue)(3z) + color(blue)(2y))` becomes:

`(color(red)(11z) xx color(blue)(3z)) + (color(red)(11z) xx color(blue)(2y)) - (color(red)(5y) xx color(blue)(3z)) - (color(red)(5y) xx color(blue)(2y))`

`33z^2 + 22zy - 15zy - 10y^2`

We can now combine like terms:
`33z^2 + (22 - 15)zy - 10y^2`

`33z^2 + 7zy - 10y^2`