Answer: [tex]2x^3+x^2-2x-4[/tex]
Step-by-step explanation:
Given the expression:
[tex](3x^3-4x^2+x-2)-(x^3-5x^2+3x+2)[/tex]
It is important to remember the multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(+)(-)=-[/tex]
Then, knowing this, we can distributive the negative sign:
[tex]=3x^3-4x^2+x-2-x^3+5x^2-3x-2[/tex]
The final step is to add the like terms. Then we get:
[tex]=2x^3+x^2-2x-4[/tex]
