Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions:

2ab - 12a + 3a + 3b - 8b - ab + ___

Hi6942O Jun 19, 2024

#1**+1 **

If we combine like terms, we get ab-9a-5b+__. Then, we can factor the expression as a(b-9)-5b+__. Because -5b+__ need to be factorable by b-9, the blank must be 45. If we plug it back in, we can factor it into (a-5)(b-9). Therefore, the blank is 45.

Feel free to tell me if I did anything wrong! :D

Tottenham10 Jun 19, 2024

#1**+1 **

Best Answer

If we combine like terms, we get ab-9a-5b+__. Then, we can factor the expression as a(b-9)-5b+__. Because -5b+__ need to be factorable by b-9, the blank must be 45. If we plug it back in, we can factor it into (a-5)(b-9). Therefore, the blank is 45.

Feel free to tell me if I did anything wrong! :D

Tottenham10 Jun 19, 2024