Question

What is the standard form of `y= (-x-9)^3-(2x-1)^2`?

Answer 1

`color(magenta)(y=-x^3-31x^2-239x-730`

Explanation:

`y=(-x-9)^3-(2x-1)^2`

`y=-x^3-27x^2-243x-729-(4x^2-4x+1)`

`color(magenta)(y=-x^3-31x^2-239x-730`

`color(white)(aaaaaaaaaaaaa)` `-x-9`
`color(white)(aaaaaaaaaaa)` `xx underline(-x-9)`
`color(white)(aaaaaaaaaaaaaa)` `x^2+9x`
`color(white)(aaaaaaaaaaaaaaaaaa)` `9x+81`
`color(white)(aaaaaaaaaaaaaa)` `overline(x^2+18x+81)`
`color(white)(aaaaaaaaa)` `xx -x-9`
`color(white)(aaaaaaaaaaaa)` `overline(-x^3-18x^2-81x)`
`color(white)(aaaaaaaaaaaaaaaaa)` `-9x^2-162x-729`
`color(white)(aaaaaaaaaaa)` `overline(-x^3-27x^2-243x-729)`

`color(white)(aaaaaaaaaaaaaa)` `2x-1`
`color(white)(aaaaaaaaaaa)` `xx underline(2x-1)`
`color(white)(aaaaaaaaaaaaa)` `4x^2-2x`
`color(white)(aaaaaaaaaaaaaaaa)` `-2x+1`
`color(white)(aaaaaaaaaaaaa)` `overline(4x^2-4x+1)`