Final answer:
To subtract the given polynomials and simplify the result, we need to combine like terms.
Step-by-step explanation:
To subtract the given polynomials and simplify the result, we need to combine like terms. Let's rearrange the terms so that the exponents are in descending order:
(3x⁶ - 8x⁴ - 5x³) - (7x⁶ - 2x⁵ + 6x⁴ + 4x³)
Now, combine the like terms:
(3x⁶ - 7x⁶) + (-8x⁴ + 6x⁴) + (-5x³ - 4x³) + 2x⁵ = -4x⁶ - 2x⁴ - 9x³ + 2x⁵
This is the simplified form of the subtracted polynomials.