Respuesta :
Answer:
-2b(k²-3k+1)
Step-by-step explanation:
The question is on factorization
-2bk²+6bk-2b
Factor out 2b
-2b(k²-3k+1)
When you open brackets to check the answer
-2b×k²-2b×-3k-2b×1= -2bk²+6bk+2b
For this case we must factor the following expression:
[tex]-2bk ^ 2 + 6bk-2b[/tex]
It is observed that the three terms have in common a ce divisible between 2 and the variable "b".
Then, we can extract common factor "2b":
[tex]2b (-k ^ 2 + 3k-1)[/tex]
If we take out common factor "-" we have:
[tex]-2b (k ^ 2-3k + 1)[/tex]
Answer:
Option C