Question

Simplify the following expression: (x + 3) – [(x + 2) (xᶺ3 – 1)]

Answer 1

-x^4 - 2x^3 +2x + 5

Explanation:

(x + 3) – [(x + 2) (xᶺ3 – 1)]

(x + 3) - [(x^4 - x + 2x^3 - 2)]

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

-x^4 - 2x^3 +2x + 5

Answer 2

`-x ^ 4 - 2x ^ 3 + 2 x + 5`

Explanation:

We are given the following expression and we are to simplify it:

`(x + 3) - [(x + 2) (x^3-1)]`

We will start by removing the parenthesis:

`x+3-\left(x+2\right)\left(x^3-1\right)`

Now expanding the terms
`-\left(x+2\right)\left(x^3-1\right)` to get:

`x + 3 - x ^ 4 + x - 2 x ^ 3 + 2`

Simplifying it further to get:

`-x ^ 4 - 2x ^ 3 + 2 x + 5`