Question

How do you multiply `(3x-2)(x+5)`?

Answer 1

`3x^2+13x-10`

Explanation:

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

`rArr(color(red)(3x-2))(x+5)`

`=color(red)(3x)(x+5)color(red)(-2)(x+5)`

`=(color(red)(3x)xx x)+(color(red)(3x)xx5)+(color(red)(-2)xx x)+(color(red)(-2)xx5)`

`=3x^2color(blue)(+15x)color(blue)(-2x)-10`

`=3x^2+13x-10`