Question

How do you multiply `( 8x + 6) ( x-2)`?

Answer 1

`(8x+6)(x-2) = 8x^2-10x-12`

Explanation:

This multiplication can be done in several ways: [1] using the distributive property; [2] using FOIL; [3] using a tabular multiplication.
The following uses the distributive approach.

`(color(red)(8x)+color(blue)(6))(x-2)`
applying the distributive property:
`color(white)("XXXX")` `=(color(red)(8x))(x-2) + (color(blue)(6))(x-2)`
multiplying the two terms separately
`color(white)("XXXX")` `(color(red)(8x^2-16x))+(color(blue)(6x-12))`
combine terms
`color(white)("XXXX")` `8x^2-10x-12`