Simplify the expression.
4k²(-3k² - 4k+5)
A) -12k+- 16k³ +20k²
B) 12k4-16k³ +9k²
C) -12k3 +20k
D) k^4+9k^2
B) 12k4-16k³ +9k²
To simplify the expression 4k²(-3k² - 4k + 5), we need to distribute the 4k² to each term inside the parentheses.
So, we have:
4k²(-3k²) + 4k²(-4k) + 4k²(5)
Simplifying each term:
(-12k^4) + (-16k³) + (20k²)
Combining like terms:
-12k^4 - 16k³ + 20k²
So, the simplified expression is option B) -12k^4 - 16k³ + 20k².