4k²(-3k²- 4k + 5)

To simplify the expression 4k²(-3k²- 4k + 5), we need to distribute the 4k² to the terms inside the parentheses:

4k²(-3k²- 4k + 5) = (-12k⁴ - 16k³ + 20k²)

Therefore, the simplified expression is -12k⁴ - 16k³ + 20k².