Final answer:
To simplify the given polynomial 3m⁸-6m⁵+9m⁸-7m⁷, we combine like terms to obtain the simplified polynomial 12m⁸-7m⁷-6m⁵.
Step-by-step explanation:
The given polynomial is 3m⁸-6m⁵+9m⁸-7m⁷. To simplify the polynomial, we can combine like terms with the same degree.
First, let's combine the like terms with the highest degree, which is 8. We have 3m⁸+9m⁸, which is equal to 12m⁸.
Next, we have -7m⁷ and no other terms with degree 7. So the simplified polynomial is 12m⁸-7m⁷-6m⁵.
Learn more about Simplifying polynomials