Final answer:
The expression (2m²-8m⁴)-(8m³-4m²-8m⁴) simplifies to 6m² - 8m³ after distributing the negative sign and combining like terms.
Step-by-step explanation:
To simplify the expression (2m²-8m⁴)-(8m³-4m²-8m⁴), we should first distribute the negative sign across the terms in the second parenthesis:
(2m² - 8m⁴) - 8m³ + 4m² + 8m⁴
Next, combine like terms:
- 2m² + 4m² = 6m²
- -8m⁴ + 8m⁴ = 0m⁴ (these terms cancel each other out)
- There's only one term with m³, so it remains as -8m³
After combining like terms, the simplified expression is:
6m² - 8m³