Question

How do you multiply `(n + 6) ( 3n ^ { 2} - 5n + 6)`?

Answer 1

`color(blue)(3n^3+13n^2-24n+36`

Explanation:

`color(white)(aaaaaaaaaaaaa)` `3n^2-5n+6`
`color(white)(aaaaaaaaaaaaa)` `n+6`
`color(white)(aaaaaaaaaaaaa)` `-----`
`color(white)(aaaaaaaaaaaaa)` `3n^3-5n^2+6n`
`color(white)(aaaaaaaaaaaaaaaaaa)` `18n^2-30n+36`
`color(white)(aaaaaaaaaaaaa)` `----------`
`color(white)(aaaaaaaaaaaaa)` `color(blue)(3n^3+13n^2-24n+36`