Question

How do you simplify `(2y^{2}-4y^{3}+y^{2}-2y+3)(2y-3)`?

Answer 1

`color(green)(-8y^4+18y^3-13y^2+12y-9`

Explanation:

`(2y^2-4y^3+y^2-2y+3)(2y-3)`

`;.=(-4y^3+3y^2-2y+3)xx(2y-3)`

`color(white)(aaaaaaaaaaaa)` `-4y^3+3y^2-2y+3`
`color(white)(aaaaaaaaaaa)` `xx underline(2y-3)`
`color(white)(aaaaaaaaaaaa)` `-8y^4+6y^3-4y^2+6y`
`color(white)(aaaaaaaaaaaaaaaaa)` `+12y^3-9y^2+6y-9`
`color(white)(aaaaaaaaaaaa)` `overline(-8y^4+18y^3-13y^2+12y-9)`

`color(white)(aaaaaaaaaaaa)` `color(green)(-8y^4+18y^3-13y^2+12y-9`