Respuesta :

 5k3 - 3k + 7 - (-2k3 + k2 - 9)
 5k3 - 3k + 7 + 2k3 - k2 + 9
= 7k3 - k2 - 3k + 16

Answer:

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

Step-by-step explanation:

we have the expression:

[tex]5k^3-3k+7[/tex]

and we must substract the other expression:

[tex]-2k^3+k^2-9[/tex]

so we will get the following:

[tex]5k^3-3k+7-(-2k^3+k^2-9)[/tex] (we put the minus sign because we are substracting)

So we solve this operation being carefull with the signs:

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

and finally, joining like terms:

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