+0  
 
0
3
2
avatar+452 

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

2mn - 18m + 7n - 3mn + 15m + 8n + ___

 Feb 25, 2025
 #1
avatar+26 
+1

The correct constant is -47.

 Feb 25, 2025
 #2
avatar+130462 
+1

2mn  - 18m + 7n - 3mn + 15m  + 8n   + _____  simplify

 

-mn - 3m   + 15n +  ____

 

Take the product of the absolute value of the coefficients  on m, n  =   3 * 15 =  45

 

This is the added constant

 

The factrorization  is  

 

(-m  + 15) (n + 3)  =  -mn -3m + 15n  +  45

 

cool cool cool

 Feb 26, 2025

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