2y²(6y-1)+3y(y-4y²)

To simplify the expression 2y²(6y-1) + 3y(y-4y²), follow the distributive property to expand each term:

First, distribute 2y² to (6y-1):

2y² * 6y = 12y³ 2y² * -1 = -2y²

So, the first term becomes: 12y³ - 2y²

Next, distribute 3y to (y-4y²):

3y * y = 3y² 3y * -4y² = -12y³

So, the second term becomes: 3y² - 12y³

Now, we can combine the like terms:

(12y³ - 2y²) + (3y² - 12y³)

When adding, you can combine the like terms with the same exponent:

12y³ - 12y³ = 0 -2y² + 3y² = y²

So the simplified expression is: y² - 12y³