To simplify the expression 2y²(6y-1)+3y(y-4y²), we can expand and combine like terms.
Let's start with the first term, 2y²(6y-1): 2y² * 6y = 12y³ 2y² * (-1) = -2y²
So, the first term simplifies to 12y³ - 2y².
Now let's simplify the second term, 3y(y-4y²): 3y * y = 3y² 3y * (-4y²) = -12y³
Therefore, the second term simplifies to 3y² - 12y³.
Now, let's combine the two simplified terms: 12y³ - 2y² + 3y² - 12y³
The 12y³ and -12y³ cancel each other out, leaving us with: -2y² + 3y²
Combining these like terms, we get: y²
So, the simplified expression is y².
