Respuesta :

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:

[tex] -x ^ 4 - 2x ^ 3 + 2 x + 5 [/tex]

Step-by-step explanation:

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

[tex](x + 3) - [(x + 2) (x^3-1)][/tex]

We will start by removing the parenthesis:

[tex]x+3-\left(x+2\right)\left(x^3-1\right)[/tex]

Now expanding the terms [tex]-\left(x+2\right)\left(x^3-1\right)[/tex] to get:

[tex] x + 3 - x ^ 4 + x - 2 x ^ 3 + 2 [/tex]

Simplifying it further to get:

[tex] -x ^ 4 - 2x ^ 3 + 2 x + 5 [/tex]