High School

Subtract and simplify the polynomials:

\[ 3x^6 - 8x^4 - 5x^3 \]

from

\[ 7x^6 - 6x^4 + 2x^5 + 4x^3 \]

Answer :

Final answer:

To subtract the given polynomials and simplify the result, we need to combine like terms.

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.