Use the order of operations to simplify the following expression. Make sure to show your work. 2(5−2)^2 +2 (2 points)
To simplify the expression 2(5−2)^2 + 2 using the order of operations, let's go step by step.
First, we need to simplify the exponent inside the parentheses:
(5−2)^2 = 3^2 = 9
Next, we multiply the result by 2:
2(9) = 18
Finally, we add 2 to the previous result:
18 + 2 = 20
So, the simplified expression is 20.