Final answer:
To add the polynomials (-4y³-5y+16) and (4y²-y+9), combine like terms and write the result in standard form as -4y³ + 4y² - 6y + 25.
Step-by-step explanation:
To add the polynomials (-4y³-5y+16) and (4y²-y+9), we combine like terms. For the y³ term, we have -4y³ + 0y³ = -4y³. For the y² term, we have 0y² + 4y² = 4y². For the y term, we have -5y - y = -6y. Finally, for the constant term, we have 16 + 9 = 25. Combining all these terms, we get the expanded polynomial -4y³ + 4y² - 6y + 25 in standard form.