Final answer:
To simplify the expression (17m²-10m⁴-6)-(2m²+12m⁴+15), combine like terms to get 15m² - 22m⁴ - 21.
Step-by-step explanation:
To simplify the expression (17m²-10m⁴-6)-(2m²+12m⁴+15), we can combine like terms. First, distribute the negative sign to each term inside the parentheses:
(17m²-10m⁴-6)-(2m²+12m⁴+15) = 17m² - 10m⁴ - 6 - 2m² - 12m⁴ - 15
Next, combine like terms:
17m² - 10m⁴ - 6 - 2m² - 12m⁴ - 15 = (17m² - 2m²) + (-10m⁴ - 12m⁴) + (-6 - 15) = 15m² - 22m⁴ - 21
So the simplified expression is 15m² - 22m⁴ - 21.