Is this simplified correctly?

(6x - 3x^3 + 4) - (3x^2 - 3)
6x - 3x^3 + 4 - 3x^2 + 3
6x - 3x^3 + 4 + 3 - 3x^2
6x - 3x^3 + 7 - 3x^2

Question

Is this simplified correctly? 

(6x - 3x^3 + 4) - (3x^2 - 3)
6x - 3x^3 + 4 - 3x^2 + 3
6x - 3x^3 + 4 + 3 - 3x^2
6x - 3x^3 + 7 - 3x^2

quickstudent · Answer

@SolomonZelman ?

solomonzelman · Answer

(6x - 3x^3 + 4) - (3x^2 - 3)
`6x - 3x^3 + 4 - 3x^2 + 3`
 - 3x^3 - 3x^2 + 6x+ 4 + 3


finish by  subtracting/adding  like terms

quickstudent · Answer

I did that already. Is there anything wrong?

quickstudent · Answer

@mathstudent55 ?

solomonzelman · Answer

you didn't finish it, but you didn't make any mistakes.

quickstudent · Answer

But what is there left to do? I don't see any way to simplify it more than this.

quickstudent · Answer

@thomaster ?

mathstudent55 · Answer

It's correct.
It is not in descending order of degree, but everything you did is correct.
It is fully simplified as long as you were not asked to write it in ascending or descending order of degree or in standard form.

quickstudent · Answer

Thanks!

mathstudent55 · Answer

You're welcome.