Question

How do you multiply `(m+3/4)(m-3/4)`?

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)(m) + color(red)(3/4))(color(blue)(m) - color(blue)(3/4))` becomes:

`(color(red)(m) xx color(blue)(m)) - (color(red)(m) xx color(blue)(3/4)) + (color(red)(3/4) xx color(blue)(m)) - (color(red)(3/4) xx color(blue)(3/4))`

`m^2 - 3/4m + 3/4m - 9/16`

We can now combine like terms:

`m^2 + (-3/4 + 3/4)m - 9/16`

`m^2 + 0m - 9/16`

`m^2 - 9/16`