Final answer:
To subtract the two polynomials, distribute the negative sign and combine like terms.
Step-by-step explanation:
To subtract the two polynomials (3x^5 - 2x^4 - 5) - (2x^4 + x^2 - 10), we combine like terms. First, distribute the negative sign to the terms inside the second parentheses: (3x^5 - 2x^4 - 5) - 2x^4 - x^2 + 10. Then, group the like terms together: 3x^5 + (-2x^4 - 2x^4) + (-x^2) + (-5 + 10). Simplify each group: 3x^5 - 4x^4 - x^2 + 5.