Question

Multiply the binomial and the trinomial.
(x-2)(x^2+2x+4)

Answer 1

Explanation:

To solve this problem, we need to multiple
`x` and -2 by
`x^(2) + 2x + 4` and add the results together:

`x(x^(2) + 2x + 4)`

`x^(3) + 2x^(2) + 4x`

`-2(x^(2) + 2x + 4)`

`-2x^(2) - 4x - 8`

Adding the two together give the following:

`(x^(3) + 2x^(2) + 4x) + (-2x^(2) - 4x - 8)`

`x^(3) - 8`