Question

How do you multiply `(x+1)^3`?

Answer 1

`x^3+3x^2+3x+1`

Explanation:

= `x^3+3x^2*1+3x *1^2+1^3`

= `x^3+3x^2+3x+1`

Answer 2

`color(magenta)(x^3+3x^2+3x+1`

Explanation:

`color(white)(aaaaaaaaaaaaa)` `x+1`
`color(white)(aaaaaaaaaaa)` `xx underline(x+1)`
`color(white)(aaaaaaaaaaaaa)` `x^2+x`
`color(white)(aaaaaaaaaaaaaaaa)` `+x+1`
`color(white)(aaaaaaaaaaaaa)` `overline(x^2+2x+1)`
`color(white)(aaaaaaaaaaa)` `xx x+1`
`color(white)(aaaaaaaaaaaaa)` `overline(x^3+2x^2+x)`
`color(white)(aaaaaaaaaaaaaaaaaa)` `x^2+2x+1`
`color(white)(aaaaaaaaaaaaa)` `overline(x^3+3x^2+3x+1)`

`color(white)(aaaaaaaaaaaaa)` `color(magenta)(x^3+3x^2+3x+1`