Answer:
Step-by-step explanation:
(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)
= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24
{bring the like terms together}
= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v² - 9v - 48v - 24
= -3v⁴ - 15v³ - 45v² - 57v - 24
HINT:
-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3
= -3v²⁺² - 6v²⁺¹ - 3v²
-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)
= -9v¹⁺² - 18v¹⁺¹ - 9v
= -3v³ - 18v² - 9v
= -3v⁴ - 6v³ - 3v²
