Answer:
Option C is the answer.
Step-by-step explanation:
We have to factor the GCF of the given expression:
-6x³y + 9x²y² - 12xy³
To get the GCF of the given expression we will find the factors of each term first.
Factors of 6x³y = 2 × 3 × (x) × (x) (x) (y)
Factors of 9x²y² = 3 × 3 × (x) (x) (y) (y)
Factors of 12xy³ = 2 × 2 × 3 × (x) (y) (y) (y)
So the common factor is 3 × (x) (y)
Now we will take out the GCF as a factor of the given expression = 3xy (-2x² + 3xy - 4y² )
= -3xy ( 2x² - 3xy + 4y² )
Option C is the answer.
