All of the following equations are correct except: D.
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In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.
Lastly, the mathematical operations of addition or subtraction would be performed from left to right.
Based on the information provided, we would solve each of the following mathematical equation as follows:
![3^2 + 5 - 2 = 12\\\\9+3=12\\\\12=12\;(True)\\\\\\3^2 - 5 + 2 = 6\\\\9-3=6\\\\6=6\;(True)\\\\\\3^2 \cdot 5 + 2 = 47\\\\9* 5 + 2=47\\\\47=47\;(True)\\\\\\3^2 + 5 \cdot 2 = 28\\\\9+10=28\\\\19=28\;(False)](https://img.qammunity.org/2021/formulas/mathematics/high-school/al3rz8jyeyz8h44sz0nvkmsl0pbgbvs5y6.png)
Complete Question:
All of the following are correct except _____.
![3^2 + 5 - 2 = 12 \\\\3^2 - 5 + 2 = 6 \\\\3^2 \cdot 5 + 2 = 47 \\\\3^2 + 5 \cdot 2 = 28](https://img.qammunity.org/2021/formulas/mathematics/high-school/2db4uwjl0hyuh0ta29xi6n1age3iwssth9.png)