Question

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

Answer 1

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

Explanation:

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

Then we expand the brackets

`x^2 + 2x + 1 (x+1)`

Finally we multiply out the final bracket

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

Which is `x^3 + 3x^2 + x + 1`