Final answer:
The difference of the polynomials (2n⁵ + 20n² - 15) and (n² + 12n² + 7) is calculated by combining like terms resulting in the simplified form: 2n⁵ + 7n² - 22.
Step-by-step explanation:
To find the difference of the polynomials (2n⁵ + 20n² - 15) and (n² + 12n² + 7), we combine like terms. First, sum the n² terms from the second polynomial to get 13n². Then, subtract the second polynomial from the first:
- 2n⁵ - 0n⁵ = 2n⁵,
- 20n² - 13n² = 7n²,
- -15 - 7 = -22.
The difference of the polynomials is therefore 2n⁵ + 7n² - 22.