Final answer:
The polynomial is simplified by combining like terms, resulting in 3xx⁴ + 3xx³ - 10x² after combining the -5x² and -5x² terms.
Step-by-step explanation:
To simplify the polynomial by combining like terms, you look for terms that have the same variable raised to the same power. The polynomial 3xx⁴ + 3xx³ - 5x²ˣ - 5x²ˣ has a typo because x²ˣ is not a standard notation and seems to be an error. Assuming this was meant to be 5x², the like terms we can combine are -5x² and -5x².
The simplified polynomial is therefore:
3xx⁴ + 3xx³ - 5x² - 5x² = 3xx⁴ + 3xx³ - 10x²
Here, 3xx⁴ and 3xx³ are not like terms because the exponents are different and cannot be combined. The terms -5x² and -5x² are like terms because they have the same variable (x) raised to the same power (2).