2y²(6y-1)+3y(y-4y²)

To simplify the expression 2y²(6y-1)+3y(y-4y²), we can follow the order of operations and distribute the terms.

First, let's distribute the 2y² to the terms inside the parentheses: 2y² * 6y = 12y³ 2y² * -1 = -2y²

Next, let's distribute the 3y to the terms inside the parentheses: 3y * y = 3y² 3y * -4y² = -12y³

Now we can combine like terms: 12y³ - 2y² + 3y² - 12y³

The 12y³ and -12y³ terms cancel each other out because they have the same coefficient and variable, leaving us with:

-2y² + 3y²

Combining like terms again: y²

So, 2y²(6y-1)+3y(y-4y²) simplifies to y².