Simplify the expression.

3k^2 (-4k^2-2k+7)

-12k^4 - 6k^3 + 21k^2

To simplify the expression 3k^2(-4k^2-2k+7), we can use the distributive property.

First, distribute 3k^2 to each term in the parentheses:

3k^2 * -4k^2 + 3k^2 * -2k + 3k^2 * 7

This gives us:

-12k^4 - 6k^3 + 21k^2

So, the simplified expression is -12k^4 - 6k^3 + 21k^2.