Respuesta :

Answer:

7k3 - k2 - 3k + 16.

Step-by-step explanation:

5k3 - 3k + 7 - (-2k3 + k2 - 9)

First distribute -1 over the parentheses:

=  5k3 - 3k + 7 + 2k3 - k2 + 9

Now simplify like terms:

= 7k3 - k2 - 3k + 16   (answer).

Answer: [tex]7k^{3}-k^{2} -3k+16[/tex]

Step-by-step explanation:

1. You have the following expression:

[tex]5k^{3} -3k+7-(-2k^{3}+k^{2}-9)[/tex]

2. Distributive the negative sign that is in front of the parentheses:

[tex]5k^{3} -3k+7+2k^{3}-k^{2}+9[/tex]

3. Now, you must add like terms, then you obtain the following result:

[tex]7k^{3}-k^{2} -3k+16[/tex]