Question

How do you multiply `(2p^2-7p+8)(2p^2-5p-3)`?

Answer 1

`color(green)(4p^2-24p^3+45p^2-19p-24)`

Explanation:

`(2p^2-7p+8)(2p^2-5p-3)`

`color(white)(aaaaaaaaaaaaa)` `2p^2-7p+8`
`color(white)(aaaaaaaaaaa)` `xx underline(2p^2-5p-3)`
`color(white)(aaaaaaaaaaaaa)` `4p^4-14p^3+16p^2`
`color(white)(aaaaaaaaaaaaaaaa)` `-10p^3+35p^2-40p`
`color(white)(aaaaaaaaaaaaaaaaaaaaaaaa)` `-6p^2+21p-24`
`color(white)(aaaaaaaaaaaaa)` `overline(4p^2-24p^3+45p^2-19p-24)`

`color(white)(aaaaaaaaaaaaa)` `color(green)(4p^2-24p^3+45p^2-19p-24)`