Question

How do you multiply `(5x+3)(-x+4)`?

Answer 1

`-5x^2+17x+12`

Explanation:

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

`(color(red)(5x+3))(-x+4)`

`=color(red)(5x)(-x+4)color(red)(+3)(-x+4)`

`=(color(red)(5x)xx-x)+(color(red)(5x)xx4)+(color(red)(3)xx-x)+(color(red)(3)xx4)`

`=-5x^2+20x-3x+12`

`=-5x^2+17x+12`