Question

How do you multiply `(3x + 2)(2x - 3)`?

Answer 1

`6x^2-5x-6`

Explanation:

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

`rArr(color(red)(3x+2))(2x-3)`

`=color(red)(3x)(2x-3)color(red)(+2)(2x-3)larrcolor(blue)"distribute"`

`=(color(red)(3x)xx2x)+(color(red)(3x)xx-3)+(color(red)(2)xx2x)+(color(red)(2)xx-3)`

`=6x^2color(blue)(-9x)color(blue)(+4x)-6larrcolor(magenta)"collect like terms"`

`=6x^2-5x-6`