Remember that an equation is valid if it has the same value in both sides. Lets evaluate each one of the qualities separately to check their validity:
1. [tex](3^2+4)-2=11[/tex]
[tex](9+4)-2=11[/tex]
[tex]13-2=11[/tex]
[tex]11=11
[/tex]
This one is valid.
2. [tex](3^2+4)-2=5[/tex]
[tex](9+4)-2=5[/tex]
[tex]13-2=5[/tex]
[tex]11=5[/tex]
This one is not valid.
3. [tex]2(3^2-1)=16[/tex]
[tex]2(9-1)=16[/tex]
[tex]2(8)=16[/tex]
[tex]16=16[/tex]
This one is valid.
4. [tex]2(3^2-11)=35[/tex]
[tex]2(9-11)=35[/tex]
[tex]2(-2)=35[/tex]
[tex]-4=35[/tex]
This one is not valid.
We can conclude that the valid qualities are (3^2+4)-2=11 and 2*(3^2-1)=16
