Final answer:
To calculate the value of the expression using the order of operations, we need to follow the steps of PEMDAS. In this case, the value of the expression is 43.
Step-by-step explanation:
In order to solve the given expression, we need to follow the order of operations (PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Let's break down the expression step by step:
(3^2 imes (4 - 2) + (-5)^2) = 9 imes (4 - 2) + 25 = 9 imes 2 + 25 = 18 + 25 = 43
Therefore, the value of the expression (3^2 imes (4 - 2) + (-5)^2) is 43.