19. 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
C cannot be right, since it only has two terms.
Take another stab at it and see whether you can come up with (A)
To simplify the expression 4k^2(-3k^2-4k+5), you can use the distributive property. This property states that when you have a number or variable multiplying a sum or difference inside parentheses, you can distribute the number or variable to each term inside the parentheses.
So, let's distribute the 4k^2 to each term inside the parentheses:
4k^2(-3k^2) + 4k^2(-4k) + 4k^2(5)
Now, simplify each term:
-12k^4 - 16k^3 + 20k^2
Therefore, the simplified form of the expression is -12k^4 - 16k^3 + 20k^2.
So, the correct answer is A. -12k^4 - 16k^3 + 20k^2.