For this case we must simplify the following expression:
[tex](3x ^ 3-2x ^ 2-6x) - (4x ^ 3-5x ^ 2 + 3x)[/tex]
By definition of the law of signs of multiplication we have:
[tex]- * - = +\\- * + = -[/tex]
Then, rewriting the expression:
[tex]3x ^ 3-2x ^ 2-6x-4x ^ 3 + 5x ^ 2-3x =[/tex]
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.
[tex]3x ^ 3-4x ^ 3-2x ^ 2 + 5x ^ 2-6x-3x =\\-x ^ 3 + 3x ^ 2-9x[/tex]
Answer:
Option D
