Question

How do you find the product `(8w+4x)(5w-6x)`?

Answer 1

See full process description below:

Explanation:

First, cross multiply each term in the left parenthesis by each term in the right parenthesis:

`(color(red)(8w) + color(red)(4x))(color(blue)(5w) - color(blue)(6x))`

`(color(red)(8w) xx color(blue)(5w)) - (color(red)(8w) xx color(blue)(6x)) + (color(red)(4x) xx color(blue)(5w)) - (color(red)(4x) xx color(blue)(6x))`

`40w^2 - 48wx + 20wx - 24x^2`

Now we can combine like terms to finalize the calculation:

`40w^2 + (-48 + 20)wx - 24x^2`

`40w^2 + (-28)wx - 24x^2`

`40w^2 - 28wx - 24x^2`