Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer:

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

Step-by-step 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:

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