Final answer:
The simplified expression of 3(2-4)² is 12 by first subtracting the numbers in the bracket, squaring them and then multiplying the resultant by 3.
Step-by-step explanation:
The subject of the question was simplifying a mathematical expression, specifically 3(2-4)². To simplify this, the first step should be to calculate the value within the brackets. In this case, you subtract 4 from 2 which gives -2, and then you square that value. The concept of Squaring of Exponentials indicates that when a number is squared, it's multiplied by itself. In this case, it is (-2)² which is 4. Finally, you multiply this squared value by 3 to get 12. So the simplified expression is 12.
Learn more about Squaring of Exponentials