Question

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

Answer 1

One term at a time

Explanation:

`(2x+6)times(x-2)`

`=2x^2 -4x + 6x -12`

`=2x^2 + 2x - 12`

Your answer is `2x^2 + 2x - 12`
or
`2(x^2 + x - 6)`

Answer 2

`2x^2+2x-12`

Explanation:

`"each term in the second factor is multiplied by each"`
`"term in the first factor"`

`rArr(color(red)(2x+6))(x-2)`

`=color(red)(2x)(x-2)color(red)(+6)(x-2)`

`=(color(red)(2x)xx x)+(color(red)(2x)xx-2)+(color(red)(6)xx x)+(color(red)(6)xx-2)`

`=2x^2color(blue)(-4x)color(blue)(+6x)-12`

`=2x^2+2x-12`