On Incomplete Truth

After finding fallacies in constructed algebraic statements, I have conjectured upon statements that are true under limited conditions.

Incomplete (Conditional) Truth Conjecture: When a statement is a conditional truth, the solution will result in one or more fallacies.

Demonstration:
Statements
(23)^2=529 True
When a=2, b=3, (10a+b)^2=529 True
(10a+b)^2=100a^2+20ab+b^2 True
When a=2, b=3, 200a+10ab+20b+b^2=529 True
100a^2+20ab+b^2=200a+10ab+20b+b^2 Not universally true, condition: when a=2, b=3
100a^2+10ab=200a+20b Not universally true, condition: when a=2, b=3 100a^2-200a=20b-10ab True when a=2, b=3
100a(a-2)=10b(2-a)
10a(a-2)=b(2-a) True when a=2
-(a-2)=(2-a)
-10a=b
When a=2, b=3
-20=3 (Fallacy)

When b= 10a(a-2)/(2-a) is evaluated with the variable a being 2 and the variable b being 3, another fallacy is identified: 3=undefined.