Final answer:
To simplify the expression, distribute the first term to every term inside the second parentheses. Combine like terms to simplify further.
Step-by-step explanation:
To simplify the expression (y-6)(-8y² +9y+2), you need to distribute the y-6 to every term inside the second parentheses:
(y-6)(-8y² +9y+2) = -8y³ + 48y² -6(-8y²) + 54y -6(9y) -6(2)
Simplifying further, you get: -8y³ + 48y² + 48y² - 54y - 18y - 12
Combine like terms to get the final simplified form:
-8y³ + 96y² - 72y - 12
Learn more about Simplifying expressions and combining like terms