Simplify the expression.
Show your work.
4k^2(-3k^2-4k+5)
A. -12k^4-16k^3+20k^2
B. 12k^4-16k^3+9k^2
C. -12k^3+20k
D. k^4+9k^2
Option A:
4k^2(-3k^2-4k+5)
= (-12k^4) - (16k^3) + (20k^2)
Therefore, the simplified expression is -12k^4-16k^3+20k^2.
Answer: A.