+0  
 
0
4
1
avatar+701 

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 + ___

 Jun 19, 2024

Best Answer 

 #1
avatar+42 
+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

 Jun 19, 2024
 #1
avatar+42 
+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

1 Online Users

avatar